area

Also known as surface area

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary 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 analogue of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept). Two dif

AI overview

Area is the measure of how much space a flat shape or surface takes up. It's useful in practical situations because it tells you things like how much paint you'd need to cover a wall or how much material you'd need to make a model of a shape.

AI-generated from the Wikipedia summary — may contain errors.

Key facts

Physical quantity.name: Area
Physical quantity.image: Squaring the circle.svg
Physical quantity.caption: The areas of this square and this disk are the same.
Physical quantity.unit: Square metre [m2]
Physical quantity.basequantities: 1 m2
Physical quantity.symbols: A or S
Physical quantity.dimension: wikidata

via Wikipedia infobox

Wikidata facts

Show 4 more facts

Commons category: Area
Stack Exchange tag: stackoverflow.com/tags/area
quantity symbol (string): S
described at URL: www.khanacademy.org/math/geometry-home/geometry-area-perimeter

Sources (4)

via Wikidata · CC0

~25 min read

Article

34 sections

Contents

Formal definition
Units
Conversions
Non-metric units
Other units including historical
History
Circle area
Triangle area
Quadrilateral area
General polygon area
Areas determined using calculus
Area formulas
Polygon formulas
Rectangles
Dissection, parallelograms, and triangles
Area of curved shapes
Circles
Ellipses
Non-planar surface area
General formulas
Areas of 2-dimensional figures
Area in calculus
Bounded area between two quadratic functions
Surface area of 3-dimensional figures
General formula for surface area
List of formulas
Relation of area to perimeter
Fractals
Area bisectors
Optimization
See also
Notes
References
External links

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.