Area

Definition · applies to regions and surfaces

Elementary

The area of a rectangle is the product of its base times its height.

High school

Consider a region in the plane, or a surface in space. Its area is its two-dimensional size. The area of a surface in space, such as a sphere, is called its surface area.

Examples

Worked examples

• The closed unit disk $D = \setdef{(x, y) \suchthat x^2 + y^2 \leq 1}$ : $\pi$ High school
  The area of the closed unit disk is $\pi r^2$ with $r = 1$.

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