Онлайн калькулятор расчета площади: Калькулятор для расчета площади

Спутниковые карты Гугл для расчета площади, длины и расстояния

Сервис предназначен для расчета по картам площади местности или для определения расстояния .

Расчет площади местности будет выполен в квадратных метрах, кв. дюймах, кв. километрах, кв. милях, кв. футах, акрах, гектарах.

Для перемещения центра карты к нужному местоположению введите адрес или название местности во встроенный в карту блок поиска расположений . Затем выбирайте нужную запись из предложенного списка.

Любую точку измеряемой площади можно указать щелчком по карте или ввести ее координаты в формате ДГ ‘десятичные градусы’ в блоке ввода под картой.

сервис для определения координат .

Для переключения между режимами ‘карта улиц’ или ‘вид со спутника’ используйте кнопки ‘КАРТА’ и ‘СПУТНИК’.

Измерить по карте расстояние Определить координаты

Показать маркеры

Загрузка карты…

Для примера сделан расчет площади Рассел-сквер в Лондоне.

Нажмите кнопку «Новый расчет», чтобы стереть старые данные и подготовить карту к новым измерениям.

Затем с помощью встроенного в карту блока ввода адреса находите нужную местность и щелчками по карте обозначайте вершины измеряемого многоугольника.

Сервис позволяет работать в комбинированном режиме ввода координат и определения точек щелчками по карте.

Геосервисы:

90000 Area Calculator 90001 90002 The following are calculators to evaluate the area of ​​seven common shapes. The area of ​​more complex shapes can usually be obtained by breaking them down into their aggregate simple shapes, and totaling their areas. This calculator is especially useful for estimating land area. 90003 90004 90005 Rectangle 90006 90007 90008 90009 90010 90011 90012 90010 90014 90015 90016 90005 Triangle 90006 90007 90008 90009 90010 90011 90024 90002 Use the Triangle Calculator to determine 90016 all three edges of the triangle 90016 given other parameters.90003 90010 90014 90015 90016 90005 Trapezoid 90006 90007 90008 90009 90010 90011 90040 90010 90014 90015 90016 90005 Circle 90006 90007 90008 90009 90010 90011 90052 90010 90014 90015 90016 90005 Sector 90006 90007 90008 90009 90010 90011 90064 90010 90014 90015 90016 90005 Ellipse 90006 90007 90008 90009 90010 90011 90076 90010 90014 90015 90016 90005 Parallelogram 90006 90007 90008 90009 90010 90011 90088 90010 90014 90015 90016 RelatedSurface Area Calculator | Volume Calculator 90002 Area is a quantity that describes the size or extent of a two-dimensional figure or shape in a plane.It can be visualized as the amount of paint that would be necessary to cover a surface, and is the two-dimensional counterpart of the one-dimensional length of a curve, and three-dimensional volume of a solid. The standard unit of area in the International System of Units (SI) is the square meter, or 90094 m 90095 2 90096 90097. Provided below are equations for some of the most common simple shapes, and examples of how the area of ​​each is calculated. 90003 90099 Rectangle 90100 90002 A rectangle is a quadrilateral with four right angles.It is one of the simplest shapes, and calculating its area only requires that its length and width are known (or can be measured). A quadrilateral by definition is a polygon that has four edges and vertices. In the case of a rectangle, the length typically refers to the longer two edges of the quadrilateral, while the width refers to the shorter of the two edges. When the length and width of a rectangle are equal, the shape is a special case of a rectangle, called a square. The equation for calculating the area of ​​a rectangle is as follows: 90003 90103 area = length × width 90003 90002 90094 The Farmer and his Daughter — Unsold Land 90097 90003 90002 Imagine a farmer trying to sell a piece of land that happens to be perfectly rectangular.Because he owns some cows that he did not want frolicking freely, he fenced the piece of land and knows the exact length and width of each edge. The farmer also lives in the United States, and being unfamiliar with the use of SI units, still measures his plot of land in terms of feet. The foot was defined to be exactly 0.3048 meters in 1959 after having changed over an extensive period of time, as historically, the human body was often used to provide a basis for units of length, and unsurprisingly, was inconsistent based on time and location.Tangent aside, the farmer’s plot of land has a length of 220 feet, and a width of 99 feet. Using this information: 90003 90103 area = 220 × 99 = 21780 sq ft 90003 90002 The farmer’s plot of land, which has an area of ​​21,780 square feet, equates to half an acre, where an acre is defined as the area of ​​1 chain by 1 furlong, which are defined by something else, and so on, and is why SI now exists. Unfortunately for the farmer, he lives in an area predominated by foreign investors with smaller feet, who felt that they should be getting more square feet for their money, and his land remains unsold today.90003 90099 Triangle 90100 90002 There are many equations for calculating the area of ​​a triangle based on what information is available. As mentioned in the calculator above, please use the Triangle Calculator for further details and equations for calculating the area of ​​a triangle, as well as determining the sides of a triangle using whatever information is available. Briefly, the equation used in the calculator provided above is known as Heron’s formula (sometimes called Hero’s formula), referring to the Hero of Alexandria, a Greek mathematician and engineer considered by some to be the greatest experimenter of ancient times.The formula is as follows: 90003 90103 90120 90003 90002 90094 The Farmer and his Daughter — Triangle Daze 90097 90003 90002 At this point in time, through extreme effort and perseverance, the farmer has finally sold his 21,780 sq ft plot of land and has decided to use some of the money earned to build a pool for his family. Unfortunately for the farmer, he does not consider the fact that the maintenance costs of a pool for one year alone could likely pay for his children to visit any pool or water theme park for years to come.Even more unfortunately for the farmer, his 7-year-old daughter who has recently traveled to Egypt vicariously through Dora the Explorer, has fallen in love with triangles, and insists that the pool not only be triangular in shape, but also that the measurements must only include the number 7, to represent her age and immortalize this point of her life in the form of a triangular pool. Being a doting father, the farmer acquiesces to his daughter’s request and proceeds to plan the construction of his triangular pool.The farmer must now determine whether he has sufficient area in his backyard to house a pool. While the farmer has begun to learn more about SI units, he is as yet uncomfortable with their use and decides that his only viable option is to construct a pool in the form of an equilateral triangle with sides 77 ft in length, since any other variation would either be too large or small. Given these dimensions, the farmer determines the necessary area as follows: 90003 90103 90129 90003 90002 Since the longest distance between any two points of an equilateral triangle is the length of the edge of the triangle, the farmer reserves the edges of the pool for swimming «laps» in his triangular pool with a maximum length approximately half that of an Olympic pool, but with double the area — all under the watchful eyes of the presiding queen of the pool, his daughter, and the disapproving glare of his wife.90003 90099 Trapezoid 90100 90002 A trapezoid is a simple convex quadrilateral that has at least one pair of parallel sides. The property of being convex means that a trapezoid’s angle does not exceed 180 ° (in contrast, a concave quadrilateral would), while being simple reflects that trapezoids are not self-intersecting, meaning two non-adjacent sides do not cross. In a trapezoid, the parallel sides are referred to as the bases of the trapezoid, and the other two sides are called the legs.There exist more distinctions and classifications for different types of trapezoids, but their areas are still calculated in the same manner using the following equation: 90003 90002 where 90094 b 90139 1 90140 90097 and 90094 b 90139 2 90140 90097 are the bases. 90094 h 90097 is the height, or perpendicular distance between the bases 90003 90002 90094 The Farmer and his Daughter — Ramping Endeavors 90097 90003 90002 Two years have passed since the farmer’s pool was completed, and his daughter has grown and matured.While her love for triangles still persists, she eventually came to the realization that no matter how well- «triangled» she was, triangles alone can not make the world go round, and that Santa’s workshop could not plausibly balance on the North Pole, were the world a pyramid rather than a sphere. Slowly, she has begun to accept other shapes into her life and pursues her myriad different interests — currently freestyle BMX. As such, she requires a ramp, but unfortunately for the farmer, not just any ramp.The ramp must be comprised of only shapes that can be formed using multiple triangles, since like her rap idol B.o.B, the farmer’s daughter still has difficulty accepting the reality of curved surfaces. It must of course, also only use the number 9 in its measurements to reflect her age. The farmer decides that his best option is to build a ramp comprised of multiple rectangles, with the side face of the ramp being in the shape of a trapezoid. As the farmer has now become more comfortable with SI, he is able to be more creative with his use of units, and can build a more reasonably sized ramp while adhering to his daughter’s demands.He decides to build a ramp with a trapezoidal face with height of 9 ft, a bottom base of length 29.528 ft (9 m), and a top base of 9 ft. The area of ​​the trapezoid is calculated as follows: 90003 90155 90008 90157 area = 90010 90159 90157 × 9 = 173.376 sq ft 90010 90014 90015 90099 Circle 90100 90002 A circle is a simple closed shape formed by the set of all points in a plane that are a given distance from a given center point. This distance from the center to any point on the circle is called the radius.More detail can be found regarding circles on the Circle Calculator page, but to calculate the area it is only necessary to know the radius, and understand that values ​​in a circle are related through the mathematical constant 90094 π 90097. The equation for calculating the area of ​​a circle is as follows: 90003 90103 area = πr 90095 2 90096 90003 90002 90094 The Farmer and his Daughter — Circle of Li (f) es 90097 90003 90002 Another six years have passed, and his daughter has grown into a strong, beautiful, powerful, confident 15-year-old ingrate solely focused on seeking external validation from acquaintances and strangers on social media while wholeheartedly ignoring genuine support from immediate family and friends .Having had an argument with her father about her excessive use of social media, she decides to prey on her father’s fear of the unknown, and belief in the supernatural in order to prank him. Not knowing where to start, she walks around town talking to a variety of strangers all of whom seemingly have endless founts of wisdom and advice, where she learns about crop circles and their association with aliens and unidentified flying objects as well as many other topics that ignore all scientific and logical explanations.Having finally been convinced of the spherical nature of the earth, deleted all her past social media posts relating to BoB, and expanded her love of triangles to an acceptance of other shapes, she decides to make a basic crop circle consisting of a number of concentric circles, and wants to determine the area necessary to create a crop circle with an outer radius of 15 ft. She does so using the following equation: 90003 90103 area = π × 15 90095 2 90096 = 706.858 sq ft 90003 90002 Unfortunately for the farmer, not only is he terrified of the crop circle that appeared overnight on the night that his daughter told him she was at a slumber party with her friends, that for some odd reason did not result in superfluous Instagram posts (he was of course his daughter’s first follower), but the number of «circle investigators» and «cereologists» showing up on his farm to examine, and subsequently confirm the authenticity of the crop circle as an alien construction, cost him significant damages to his crops .90003 90099 Sector 90100 90002 A sector of a circle is essentially a proportion of the circle that is enclosed by two radii and an arc. Given a radius and an angle, the area of ​​a sector can be calculated by multiplying the area of ​​the entire circle by a ratio of the known angle to 360 ° or 2π radians, as shown in the following equation: 90003 90155 90008 90157 area = 90010 90159 90157 × πr 90095 2 90096 90010 90157 if θ is in degrees 90010 90014 90015 90103 or 90003 90155 90008 90157 area = 90010 90159 90157 × πr 90095 2 90096 90010 90157 if θ is in radians 90010 90014 90015 90002 90094 The Farmer and his Daughter — Sectioning Family 90097 90003 90002 The farmer and his family are facing their most significant dilemma to date.One year has passed, and the farmer’s daughter is now 16 years old and as part of her birthday celebration, her mother baked her favorite dessert, blackberry pie. Unfortunately for the farmer’s daughter, blackberry pie also happens to be a favorite food of their pet raccoon, Platypus, as evidenced by 180 ° worth of the pie being missing with telltale signs of the culprit in the form of crumbs leading towards the overindulgent raccoon. Initially, the pie would easily have been split between three people and one raccoon, but now, half the pie has to be divided between three people as a chagrined, but satiated Platypus watches from a distance.Given that each person will receive 60 ° worth of the pie with a radius of 16 inches, the area of ​​pie that each person receives can be calculated as follows: 90003 90103 area = 60 ° / 360 ° × π × 16 90095 2 90096 = 134.041 in 90095 2 90096 90003 90002 As a result of Platypus ‘inconsideration, each person gets one-third less pie, and the daughter contemplatively recalls American history class, where she learned about the Battle of the Alamo and the portrayal of the folk hero Davy Crockett and his coonskin hat.90003 90099 Ellipse 90100 90002 An ellipse is the generalized form of a circle, and is a curve in a plane where the sum of the distances from any point on the curve to each of its two focal points is constant, as shown in the figure below, where P is any point on the ellipse, and F 90139 1 90140 and F 90139 2 90140 are the two foci. 90003 90103 90241 90003 90002 When F 90139 1 90140 = F 90139 2 90140, the resulting ellipse is a circle. The semi-major axis of an ellipse, as shown in the figure that is part of the calculator, is the longest radius of the ellipse, while the semi-minor axis is the shortest.The major and minor axes refer to the diameters rather than radii of the ellipse. The equation for calculating the area of ​​an ellipse is similar to that for calculating the area of ​​a circle, with the only difference being the use of two radii, rather than one (since the foci are in the same location for a circle): 90003 90103 area = πab 90016 where a and b are the semi-major and semi-minor axes 90003 90002 90094 The Farmer and his Daughter — Falling out of Orbit 90097 90003 90002 Two years have passed since the mysterious disappearance of the family pet, Platypus, and the farmer’s daughter’s fortuitous winning of a furry accessory through the school lottery that helped fill the void of the loss of their beloved pet.The farmer’s daughter is now 18 and is ready to escape rural Montana for a college life replete with freedom and debauchery, and of course some learning on the side. Unfortunately for the farmer’s daughter, she grew up in an environment brimming with positive reinforcement, and subsequently, the mentality that one should «shoot for the moon [since] even if you miss, you’ll land among the stars,» as well as the assertion from everyone around her that she could do absolutely anything she put her mind to! As such, with her suboptimal grades, lack of any extracurricular activities due to her myriad different interests consuming all of her free time, zero planning, and her insistence on only applying to the very best of the best universities, the shock that resulted when she was not accepted to any of the top-tier universities she applied to could be reasonably compared to her metaphorically landing in deep space, inflating, freezing, and quickly suffocating when she missed the moon and landed among the stars.Along with her lungs, her dream of becoming an astrophysicist was summarily ruptured, at least for the time being, and she was relegated to calculating the elliptical area necessary in her room to build a human sized model of Earth’s near elliptical orbit around the sun, so she could gaze longingly at the sun in the center of her room and its personification of her heart, burning with passion, but surrounded by the cold vastness of space, with the Earth’s distant rotation mockingly representing the distance between her dreams, and solid ground .90003 90103 area = π × 18 ft × 20 ft = 1130.97 sq ft 90003 90099 Parallelogram 90100 90002 A parallelogram is a simple quadrilateral which has two pairs of parallel sides, where the opposite sides and angles of the quadrilateral have equal lengths and angles. Rectangles, rhombuses, and squares are all special cases of parallelograms. Remember that the classification of a «simple» shape means that the shape is not self-intersecting. A parallelogram can be divided into a right triangle and a trapezoid, which can further be rearranged to form a rectangle, making the equation for calculating the area of ​​a parallelogram essentially the same as that for calculating a rectangle.Instead of length and width however, a parallelogram uses base and height, where the height is the length of the perpendicular between a pair of bases. Based on the figure below, the equation for calculating the area of ​​a parallelogram is as follows: 90003 90103 90265 90003 90103 area = b × h 90003 90002 90094 The Farmer and his Daughter — Diamond in the Sky 90097 90003 90002 Another two years have passed in the life of the farmer and his family, and though his daughter had been a cause for intense worry, she has finally bridged the distance between the blazing sun that is her heart, and the Earth upon which society insists she must remain grounded.Through the struggles that ensued from her self-imposed isolation, surrounded by imagined, judgmental eyes presuming her failure from all directions, the farmer’s daughter emerged from the pressures of the earth like a diamond, shining brightly and firm in her resolve. Despite all its drawbacks, she decides that there is little choice but to persist through the asteroid field of life in hopes that a Disney fairy tale ending exists. At long last, fortunately for the farmer’s daughter and her family, hope does appear, but not in the form of a Prince Charming, but rather as a sign from the supposed heavens.Through all of her metaphorical musings and tribulations involving space, it almost becomes believable that the farmer’s daughter somehow influenced the massive octahedral diamond asteroid falling squarely, but safely upon their farmland, which she interprets as representing her journey, formation, and eventual homecoming. The farmer’s daughter proceeds to measure the area of ​​one of the rhomboidal faces of her newly found symbol of life: 90003 90103 area = 20 ft × 18 ft = 360 sq ft 90003 90002 Unfortunately for the farmer’s daughter, the appearance of the enormous diamond drew attention from all over the world, and after sufficient pressure, she succumbs to the human within her, and sells the diamond, the very representation of her life and soul, to a wealthy collector, and proceeds to live the rest of her life in lavish indulgence, abandoning her convictions, and losing herself within the black hole of society.90003 90016 90099 Common Area Units 90100 90007 90008 90157 Unit 90010 90157 Area in m 90095 2 90096 90010 90014 90008 90157 square meter 90010 90157 SI Unit 90010 90014 90008 90157 hectare 90010 90157 10,000 90010 90014 90008 90157 square kilometre (km 90095 2 90096) 90010 90157 1,000,000 90010 90014 90008 90157 square foot 90010 90157 0.0929 90010 90014 90008 90157 square yard 90010 90157 0.8361 90010 90014 90008 90157 acre 90010 90157 4,046.9 (43,560 square feet) 90010 90014 90008 90157 square mile 90010 90157 2,589,988 (640 acres) 90010 90014 90015 .90000 Surface Area Calculator 90001 90002 Use the calculators below to calculate the surface area of ​​several common shapes. 90003 90004 Ball Surface Area 90005 90006 90007 90008 90009 90010 90011 90009 90013 90014 90015 90004 Cone Surface Area 90005 90006 90007 90008 90009 90010 90023 90009 90013 90014 90015 90004 Cube Surface Area 90005 90006 90007 90008 90009 90010 90035 90009 90013 90014 90015 90004 Cylindrical Tank Surface Area 90005 90006 90007 90008 90009 90010 90047 90009 90013 90014 90015 90004 Rectangular Tank Surface Area 90005 90006 90007 90008 90009 90010 90059 90009 90013 90014 90015 90004 Capsule Surface Area 90005 90006 90007 90008 90009 90010 90071 90009 90013 90014 90015 90004 Cap Surface Area 90005 90002 Please provide any two values ​​below to calculate.90003 90006 90007 90008 90009 90010 90085 90009 90013 90014 90015 90004 Conical Frustum Surface Area 90005 90006 90007 90008 90009 90010 90097 90009 90013 90014 90015 90004 Ellipsoid Surface Area 90005 90006 90007 90008 90009 90010 90109 90009 90013 90014 90015 90004 Square Pyramid Surface Area 90005 90006 90007 90008 90009 90010 90121 90009 90013 90014 90015 RelatedVolume Calculator | Area Calculator | Body Surface Area Calculator 90002 The surface area of ​​a solid is a measure of the total area occupied by the surface of an object.All of the objects addressed in this calculator are described in more detail on the Volume Calculator and Area Calculator pages. As such, this calculator will focus on the equations for calculating surface area the objects and the use of these equations. Please refer to the aforementioned calculators for more detail on each individual object. 90003 90128 Sphere 90129 90002 The surface area (SA) of a sphere can be calculated using the equation: 90003 90132 SA = 4πr 90133 2 90134 90015 where 90136 r 90137 is the radius 90003 90002 Xael does not like sharing her chocolate truffles with anyone.When she receives a box of Lindt truffles, she proceeds to calculate the surface area of ​​each truffle in order to determine the total surface area she has to lick to decrease the probability that anyone will try to eat her truffles. Given that each truffle has a radius of 0.325 inches: 90003 90132 SA = 4 × π × 0.325 90133 2 90134 = 1.327 in 90133 2 90134 90003 90128 Cone 90129 90002 The surface area of ​​a circular cone can be calculated by summing the surface area of ​​each of its individual components.The «base SA» refers to the circle that comprises the base in a closed circular cone, while the lateral SA refers to the rest of the area of ​​the cone between the base and its apex. The equations to calculate each, as well as the total SA of a closed circular cone are shown below: 90003 90132 base SA = πr 90133 2 90134 90015 lateral SA = πr√r 90133 2 90134 + h 90133 2 90134 90015 total SA = πr (r + √r 90133 2 90134 + h 90133 2 90134) 90015 where 90136 r 90137 is radius and 90136 h 90137 is height 90003 90002 Athena has recently taken an interest in southeast Asian culture, and is particularly fascinated by the conical hat, typically referred to as a «rice hat,» which is commonly used in a number of southeast Asian countries.She decides to make one of her own, and being a very practical person not mired in sentimentality, retrieves her mother’s wedding dress from the dark recesses of the wardrobe in which it resides. She determines the surface area of ​​material she needs to create her hat with a radius of 1 foot and a height of 0.5 feet as follows: 90003 90132 lateral SA = π × 0.4√0.4 90133 2 90134 + 0.5 90133 2 90134 = 0.805 ft 90133 2 90134 90003 90128 Cube 90129 90002 The surface area of ​​a cube can be calculated by summing the total areas of its six square faces: 90003 90132 SA = 6a 90133 2 90134 90015 where 90136 a 90137 is edge length 90003 90002 Anne wants to give her younger brother a Rubik’s cube for his birthday, but knows that her brother has a short attention span and is easily frustrated.She custom orders a Rubik’s Cube in which all the faces are black, and has to pay for the customization based on the surface area of ​​the cube with edge length of 4 inches. 90003 90132 SA = 6 × 4 90133 2 90134 = 96 in 90133 2 90134 90003 90128 Cylindrical Tank 90129 90002 The surface area of ​​a closed cylinder can be calculated by summing the total areas of its base and lateral surface: 90003 90132 base SA = 2πr 90133 2 90134 90015 lateral SA = 2πrh 90015 total SA = 2πr (r + h) where 90136 r 90137 is radius and 90136 h 90137 is height 90003 90002 Jeremy has a large cylindrical fish tank that he bathes in because he does not like showers or bath tubs.He is curious whether his heated water cools faster than when in a bathtub, and needs to calculate the surface area of ​​his cylindrical tank of height 5.5 feet and radius of 3.5 feet. 90003 90132 total SA = 2π × 3.5 (3.5 + 5.5) = 197.920 ft 90133 2 90134 90003 90128 Rectangular Tank 90129 90002 The surface area of ​​a rectangular tank is the sum of the area of ​​each of its faces: 90003 90132 SA = 2lw + 2lh + 2wh 90015 where 90136 l 90137 is length, 90136 w 90137 is width, and 90136 h 90137 is height 90003 90002 Banana, the eldest daughter of a long line of banana farmers, wants to teach her spoiled rotten little sister, Banana-Bread, a lesson about hope and expectations.Banana-Bread has been clamoring all week long about wanting a new set of drawers to house her new Batman action figures. As such, Banana buys her a large Barbie doll house with limited edition kitchen utensils, oven, apron, and realistic rotting bananas for Batman. She packs these into a rectangular box of similar dimensions as the drawer that Banana-Bread wants, and needs to determine the amount of wrapping paper she needs to complete her presentation of the gift of the 3 ft × 4 ft × 5 ft surprise: 90003 90132 SA = (2 × 3 × 4) + (2 × 4 × 5) + (2 × 3 × 5) = 94 ft 90133 2 90134 90003 90128 Capsule 90129 90002 The surface area of ​​a capsule can be determined by combining the surface area equations for a sphere and the lateral surface area of ​​a cylinder.Note that the surface area of ​​the bases of the cylinder is not included since it does not comprise part of the surface area of ​​a capsule. The total surface area is calculated as follows: 90003 90132 SA = 4πr 90133 2 90134 + 2πrh 90015 where 90136 r 90137 is radius and 90136 h 90137 is height 90003 90002 Horatio is manufacturing a placebo that purports to hone a person’s individuality, critical thinking, and ability to objectively and logically approach different situations.He has already tested the market and has found that a vast majority of the sample population exhibit none of these qualities, and are very ready to purchase his product, further entrenching themselves within the traits they so desperately seek to escape. Horatio needs to determine the surface area of ​​each capsule so that he can coat them with an excessive layer of sugar and appeal to the sugar predisposed tongues of the population in preparation for his next placebo that «cures» all forms of diabetes mellitus.Given each capsule has 90136 r 90137 of 0.05 inches and 90136 h 90137 of 0.5 inches: 90003 90132 SA = 4π × 0.05 90133 2 90134 + 2π × 0.05 × 0.5 = 0.188 in 90133 2 90134 90003 90128 Spherical Cap 90129 90002 The surface area of ​​a spherical cap is based on the height of the segment in question. The calculator provided assumes a solid sphere and includes the base of the cap in the calculation of surface area, where the total surface area is the sum of the area of ​​the base and that of the lateral surface of the spherical cap.If using this calculator to compute the surface area of ​​a hollow sphere, subtract the surface area of ​​the base. Given two values ​​of height, cap radius, or base radius, the third value can be calculated using the equations provided on the Volume Calculator. The surface area equations are as follows: 90003 90132 spherical cap SA = 2πRh 90015 base SA = πr 90133 2 90134 90015 Total solid sphere SA = 2πRh + πr 90133 2 90134 90015 where 90136 R 90137 is spherical cap radius, 90136 r 90137 is base radius, and 90136 h 90137 is height 90003 90002 Jennifer is jealous of the globe that her older brother Lawrence received for his birthday.Since Jennifer is two-thirds the age of her brother, she decides that she deserves one-third of her brother’s globe. After returning her father’s hand saw to the toolshed, she calculates the surface area of ​​her hollow portion of the globe with 90136 R 90137 of 0.80 feet and 90136 h 90137 0.53 feet as shown below: 90003 90132 SA = 2π × 0.80 × 0.53 = 2.664 ft 90133 2 90134 90003 90128 Conical Frustum 90129 90002 The surface area of ​​a solid, right conical frustum is the sum of the areas of its two circular ends and that of its lateral face: 90003 90132 circular end SA = π (R 90133 2 90134 + r 90133 2 90134) 90015 lateral SA = π (R + r) √ (R-r) 90133 2 90134 + h 90133 2 90134 90015 total SA = π (R 90133 2 90134 + r 90133 2 90134) + π (R + r) √ (R-r) 90133 2 90134 + h 90133 2 90134 90015 where 90136 R 90137 and 90136 r 90137 are radii of the ends, 90136 h 90137 is height 90003 90002 Paul is making a volcano in the shape of a conical frustum for his science fair project.Paul views volcanic eruptions as a violent phenomenon, and being against all forms of violence, decides to make his volcano in the form of a closed conical frustum that does not erupt. Although his volcano is unlikely to impress the science fair judges, Paul must still determine the surface area of ​​material he needs to coat the outer wall of his volcano with 90136 R 90137 of 1 foot, 90136 r 90137 of 0.3 feet, and 90136 h 90137 of 1.5 feet: 90003 90132 total SA = π (1 90133 2 90134 + 0.3 90133 2 90134) + π (1 + 0.3) √ (1 — 0.3) 90133 2 90134 + 1.5 90133 2 90134 = 10.185 ft 90133 2 90134 90003 90128 Ellipsoid 90129 90002 Calculating the surface area of ​​an ellipsoid does not have a simple, exact formula such as a cube or other simpler shape does. The calculator above uses an approximate formula that assumes a nearly spherical ellipsoid: 90003 90132 SA ≈ 4π 90133 1.6 90134 √ (a 90133 1.6 90134 b 90133 1.6 90134 + a 90133 1.6 90134 c 90133 1.6 90134 + b 90133 1.6 90134 c 90133 1.6 90134) / 3 90015 where 90136 a 90137, 90136 b 90137, and 90136 c 90137 are the axes of the ellipse 90003 90002 Coltaine has always enjoyed cooking and recently won a ceramic knife from a contest.Unfortunately for his family, who almost exclusively eat meat, Coltaine has been practicing his cutting technique on an excessive amount of vegetables. Rather than eating his vegetables, Coltaine’s father stares dejectedly at his plate, and estimates the surface area of ​​the elliptical cuts of zucchini with axes 0.1, 0.2, and 0.35 inches: 90003 90132 SA ≈ 4π 90133 1.6 90134 √ (0.1 90133 1.6 90134 0.2 90133 1.6 90134 + 0.1 90133 1.6 90134 0.35 90133 1.6 90134 + 0.2 90133 1.6 90134 0.35 90133 1.6 90134) / 3 = 0.562 in 90133 2 90134 90003 90128 Square Pyramid 90129 90002 The surface area of ​​a square pyramid is comprised of the area of ​​its square base and the area of ​​each of its four triangular faces. Given height 90136 h 90137 and edge length 90136 a 90137, the surface area can be calculated using the following equations: 90003 90132 base SA = a 90133 2 90134 90015 lateral SA = 2a√ (a / 2) 90133 2 90134 + h 90133 2 90134 90015 total SA = a 90133 2 90134 + 2a√ (a / 2) 90133 2 90134 + h 90133 2 90134 90003 90002 Vonquayla’s classroom recently completed building a model of the Great Pyramid of Giza.However, she feels that the model does not exude the feeling of architectural wonder that the original does and decides that coating it with «snow» would at least impart an aspect of wonder. She calculates the surface area of ​​melted sugar she would need to fully coat the pyramid with edge length 90136 a 90137 of 3 feet and height 90136 h 90137 of 5 feet: 90003 90132 total SA = 3 90133 2 90134 + 2 × 3√ (3/2) 90133 2 90134 + 5 90133 2 90134 = 40.321 ft 90133 2 90134 90003 90002 Unlike the Great Pyramid of Giza that has stood for thousands of years, its model, made of graham crackers and coated in sugar, lasted only a matter of days.90003 90128 Common Area Units 90129 90434 90435 90008 Unit 90009 90008 meter 90133 2 90134 90009 90013 90435 90008 kilometer 90133 2 90134 90009 90008 1,000,000 90009 90013 90435 90008 centimeter 90133 2 90134 90009 90008 0.0001 90009 90013 90435 90008 millimeter 90133 2 90134 90009 90008 0.000001 90009 90013 90435 90008 micrometer 90133 2 90134 90009 90008 0.000000000001 90009 90013 90435 90008 hectare 90009 90008 10,000 90009 90013 90435 90008 mile 90133 2 90134 90009 90008 2,589,990 90009 90013 90435 90008 yard 90133 2 90134 90009 90008 0.83613 90009 90013 90435 90008 foot 90133 2 90134 90009 90008 0.092903 90009 90013 90435 90008 inch 90133 2 90134 90009 90008 0.00064516 90009 90013 90435 90008 acre 90009 90008 4,046.86 90009 90013 90014 .90000 Area Calculator Using Maps 90001 90002 This planimeter tool can be used to measure the enclosed area of ​​a defined polyline on a map. 90003 90002 [11th July 2018] Unfortunately, due to a large price increase in back-end services, we can no longer offer some features on this page. 90003 90006 Instructions 90007 90002 To use the area calculator tool: 90003 90010 90011 Zoom and pan the map to find the area of ​​interest 90012 90011 Click on the map to place a vertices for the polyline 90012 90011 Click as many time as necessary to define the polyline 90012 90017 90002 The area enclosed will them be output in square meters and square kilometers 90003 90002 You can click the [Delete Last Point] button if you make a mistake or click [Clear All] points to remove all points from the map and start again.90003 90002 You can also reposition the markers after they have been placed on the map by dragging and dropping them. 90003 90002 To draw a new area click the [Start a New Area] button or press Alt + n 90003 90006 Information 90007 90002 The area calculator tool allows you to find out the area that is enclosed inside a closed polyline overlaid on a map. 90003 90006 Benchmarks 90007 90002 90033 90003 90002 A measurement of Lough Neagh in Northern Ireland. Lough Neagh is reported to have a surface area of ​​388 km² [1], so the reading of 380 823 442m² is not far off.90003 90006 Future Uses and Ideas 90007 90010 90011 Allow the user to change the colour of the polylines and area shading (including transparent) 90012 90011 Allow the area to be saved for later use 90012 90011 Export to KML option 90012 90017 90006 Version History 90007 90010 90011 17th June 2015 — Markers now show their lat / lng when you hover over them 90012 90011 18th December 2014 року — Total area is now calculated 90012 90011 23rd March 2014 року — Added Hectares output 90012 90011 6th August 2013 — Issue with perimeter output fixed 90012 90011 21st February 2013 — Added square feet output 90012 90011 8th January 2012 — Upgraded to Google Maps API V3 and some new features 90012 90011 20th July 2010 — Added crosshairs and option to switch on / off crosshairs 90012 90011 17th June 2010 — Added upload KML option (beta) 90012 90011 2nd June 2010 — Moved the scale control to the top of map to stop conflict with Google Search bar 90012 90011 2nd February 2010 — Added perimeter output in meters and kilometers 90012 90011 25th March Рік випуску 2008 — Draggable markers, ability to click inside polygon and output in acres added 90012 90011 26th June 2007 — Basic area calculation added 90012 90011 24th June 2007 — Page created 90012 90017 .90000 Surface Area Calculator 90001 90002 Square Pyramid Shape 90003 90004 90005 90006 90004 h = height 90008 s = slant height 90008 a = side length 90008 e = lateral edge length 90008 r = a / 2 90008 V = volume 90008 S 90014 tot 90015 = total surface area 90008 S 90014 lat 90015 = lateral surface area 90008 S 90014 bot 90015 = bottom surface area 90006 90004 Calculate more with 90008 Pyramid Calculator 90006 90026 Calculator Use 90003 90004 Online calculator to calculate the surface area of ​​geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism 90006 90004 90031 Units: 90032 Note that units are shown for convenience but do not affect the calculations.The units are in place to give an indication of the order of the results such as ft, ft 90033 2 90034 or ft 90033 3 90034. For example, if you are starting with mm and you know r and h in mm, your calculations will result with V in mm 90033 3 90034 and S in mm 90033 2 90034. 90006 90004 Below are the standard formulas for surface area. 90006 90002 Surface Area Formulas: 90003 90046 90047 Capsule Surface Area 90048 90049 90050 Volume = πr 90033 2 90034 ((4/3) r + a) 90053 90050 Surface Area = 2πr (2r + a) 90053 90056 90047 Circular Cone Surface Area 90008 90048 90049 90050 Volume = (1/3) πr 90033 2 90034 h 90053 90050 Lateral Surface Area = πrs = πr√ (r 90033 2 90034 + h 90033 2 90034) 90053 90050 Base Surface Area = πr 90033 2 90034 90053 90050 Total Surface Area 90008 = L + B = πrs + πr 90033 2 90034 = πr (s + r) = πr (r + √ (r 90033 2 90034 + h 90033 2 90034)) 90053 90056 90047 Circular Cylinder Surface Area 90048 90049 90050 Volume = πr 90033 2 90034 h 90053 90050 Top Surface Area = πr 90033 2 90034 90053 90050 Bottom Surface Area = πr 90033 2 90034 90053 90050 Total Surface Area 90008 = L + T + B = 2πrh + 2 (πr 90033 2 90034) = 2πr (h + r) 90053 90056 90047 Conical Frustum Surface Area 90048 90049 90050 Volume = (1/3) πh (r 90014 1 90015 90033 2 90034 + r 90014 2 90015 90033 2 90034 + (r 90014 1 90015 * r 90014 2 90015)) 90053 90050 Lateral Surface Area 90008 = π (r 90014 1 90015 + r 90014 2 90015) s = π (r 90014 1 90015 + r 90014 2 90015) √ ((r 90014 1 90015 — r 90014 2 90015) 90033 2 90034 + h 90033 2 90034) 90053 90050 Top Surface Area = πr 90014 1 90015 90033 2 90034 90053 90050 Base Surface Area = πr 90014 2 90015 90033 2 90034 90053 90050 Total Surface Area 90008 = π (r 90014 1 90015 90033 2 90034 + r 90014 2 90015 90033 2 90034 + (r 90014 1 90015 * r 90014 2 90015) * s) 90008 = π [r 90014 1 90015 90033 2 90034 + r 90014 2 90015 90033 2 90034 + (r 90014 1 90015 * r 90014 2 90015) * √ ((r 90014 1 90015 — r 90014 2 90015) 90033 2 90034 + h 90033 2 90034)] 90053 90056 90047 Cube Surface Area 90048 90049 90050 Volume = a 90033 3 90034 90053 90050 Surface Area = 6a 90033 2 90034 90053 90056 90047 Hemisphere Surface Area 90048 90049 90050 Volume = (2/3) πr 90033 3 90034 90053 90050 Curved Surface Area = 2πr 90033 2 90034 90053 90050 Base Surface Area = πr 90033 2 90034 90053 90050 Total Surface Area = (2πr 90033 2 90034) + (πr 90033 2 90034) = 3πr 90033 2 90034 90053 90056 90047 Pyramid Surface Area 90048 90049 90050 Volume = (1/3) a 90033 2 90034 h 90053 90050 Lateral Surface Area = a√ (a 90033 2 90034 + 4h 90033 2 90034) 90053 90050 Base Surface Area = a 90033 2 90034 90053 90050 Total Surface Area 90008 = L + B = a 90033 2 90034 + a√ (a 90033 2 90034 + 4h 90033 2 90034)) 90008 = a (a + √ (a 90033 2 90034 + 4h 90033 2 90034)) 90053 90056 90047 Rectangular Prism Surface Area 90048 90049 90050 Volume = lwh 90053 90050 Surface Area = 2 (lw + lh + wh) 90053 90056 90047 Sphere Surface Area 90048 90049 90050 Volume = (4/3) πr 90033 3 90034 90053 90050 Surface Area = 4πr 90033 2 90034 90053 90056 90047 Spherical Cap Surface Area 90048 90049 90050 Volume = (1/3) πh 90033 2 90034 (3R — h) 90053 90050 Surface Area = 2πRh 90053 90056 90047 Triangular Prism Surface Area 90048 90291 Top Surface Area of ​​a Triangular Prism Formula 90292 \ [A_ {top} = \ dfrac {1} {4} \ sqrt {(a + b + c) (b + c-a) (c + a-b) (a + b-c)} \] 90291 Bottom Surface Area of ​​a Triangular Prism Formula 90292 \ [A_ {bot} = \ dfrac {1} {4} \ sqrt {(a + b + c) (b + c-a) (c + a-b) (a + b-c)} \] 90291 Lateral Surface Area of ​​a Triangular Prism Formula 90292 \ [A_ {lat} = h (a + b + c) \] 90291 Total Surface Area of ​​a Triangular Prism Formula 90292 \ [A_ {tot} = A_ {top} + A_ {bot} + A_ {lat} \] 90299 .