Geometry & Trigonometry
Intermediate

Area of Regular Polygon

Area from apothem and perimeter.

Formula

A=12apA = \frac{1}{2} a p

Variables

aApothem
pPerimeter

Example

Works for any regular polygon

Did You Know?

Any regular polygon's area is just half its perimeter times the apothem — the same idea Archimedes used to bound π.

polygonarea