Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

The area of a shape can be measured by comparing the shape to squares of a fixed size. In the International System of Units (SI), the standard unit of area is the square metre (written as m2), which is the area of a square whose sides are one metre long. A shape with an area of three square metres would have the same area as three such squares. In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number.

There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles. Using these formulas, the area of any polygon can be found by dividing the polygon into triangles. For shapes with curved boundary, calculus is usually required to compute the area. Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.

For a solid shape such as a sphere, cone, or cylinder, the area of its boundary surface is called the surface area. Formulas for the surface areas of simple shapes were computed by the ancient Greeks, but computing the surface area of a more complicated shape usually requires multivariable calculus.

Area plays an important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear algebra, and is a basic property of surfaces in differential geometry. In analysis, the area of a subset of the plane is defined using Lebesgue measure, though not every subset is measurable. In general, area in higher mathematics is seen as a special case of volume for two-dimensional regions.

Area can be defined through the use of axioms, defining it as a function of a collection of certain plane figures to the set of real numbers. It can be proved that such a function exists.

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A.k.a. How to draw buildings poorly part 1.

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Riff

GarlicDude

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pay up

### Draw something in under 20 seconds.

Broly Supersayian

### Mauremys japonica humanoide

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The concave depression of the skull is standard for the species.

nightstar

Soon after Nightstar began her new adventures in the real world, she became unable to draw in...

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By: Alison

### git gud

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stop using basic methods. Git Gud

Mouldy Sponge

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test drawing

### Story of our life

borkikoWithCapital

^-^ <3

GarlicDude

Lazarus

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Into the brine!

### *WARNING*

Riff

be responsible, think of all those innocent kittens... T_T

### #Smiley faces

Broly Supersayian

Any one Want draw a smile face use this hashtag ☝☝☝☝

Lunar Eclipse

### more mustard

Mouldy Sponge

just because

"Better by far to embrace the hard truth than a reassuring fable."
Carl Sagan
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