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
- 1Sum of interior angles = (n−2) × 180°
- 2Each interior angle = (n−2) × 180° / n
- 3Area = (n × s²) / (4 × tan(π/n))
- 4Apothem (inradius) = s / (2 × tan(π/n))
Worked Examples
Input
Regular hexagon · side = 6 cm
Result
Area = 93.53 cm² · Perimeter = 36 cm
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