How to Calculate Regular Polygon

What is Regular Polygon?

A regular polygon has all sides equal and all interior angles equal. As the number of sides increases, it approaches a circle. Regular polygons are used in architecture, design, and tessellations.

Step-by-Step Guide

1. 1Sum of interior angles = (n−2) × 180°
2. 2Each interior angle = (n−2) × 180° / n
3. 3Area = (n × s²) / (4 × tan(π/n))
4. 4Apothem (inradius) = s / (2 × tan(π/n))

Worked Examples