Geometry & Trigonometry
Intermediate

Each Interior Angle (Regular)

Measure of one interior angle of a regular polygon.

Formula

θ=(n−2)×180°n\theta = \frac{(n-2)\times 180\degree}{n}

Variables

nSides

Example

Hexagon: 120°

Did You Know?

As a regular polygon gains sides, each interior angle creeps toward 180°, which is why many-sided shapes look almost circular.

polygonangle