Regular Polygon Area Calculator
Compute the area of a regular n-gon: A = n·s² / (4·tan(π/n)).
Input Data
Number of sides (integer ≥ 3).
Length of each side.
Results
41.5692
Regular polygon area = 41.5692.
At a glance:Regular n-gon area A = n·s² / (4·tan(π/n)) where s is the side length.
Formula
A = n·s² / (4·tan(π/n)).
How to Use
- Enter the number of sides n (≥3) and side length s.
- The tool returns area A.
Case Studies
n=6, s=4 → 41.57
A = 6·16/(4·tan30°) ≈ 41.57.
FAQ
Small n?
n=3 triangle, n=4 square both work.
n→∞?
Approaches a circle, area → πr² (circumradius r).
Related Tools
References
Content reviewed by the Calculatorism editorial team. Results are for reference only; please refer to the relevant authorities for the official figures.