Geometry & Trigonometry
Intermediate

Area of a Regular Polygon

Area from apothem and perimeter.

Formula

A=12aPA = \frac{1}{2} a P

Variables

aApothem
PPerimeter

Example

Hexagon, apothem 5, perimeter 34.6: A = ½·5·34.6 ≈ 86.6.

Did You Know?

The apothem — the distance from center to a side's midpoint — is a polygon's version of a radius.

polygonareaapothem