area
Sign in to saveArea 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
Article
34 sectionsContents
- 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
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 different regions may have the same area (as in squaring the circle); by synecdoche, "area" sometimes is used to refer to the region, as in a "polygonal area".
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.