Regular Polygon Area Calculator
Compute the area of a regular n-gon from side length.
Input Data
N
S
Results
Area of the regular polygon.
41.5692
Explanatory note about the result.
A = (6·4²)/(4·tan(π/6)) = 41.5692
At a glance:A = (n·s²)/(4·tan(π/n)). Complements perimeter and triangle-area.
Formula
A = (n·s²) / (4·tan(π/n)).
How to Use
- Enter n and side length.
- The tool returns the area.
Case Studies
n=6, s=2
A = 6·4/(4·tan(30°)) ≈ 10.39.
FAQ
Limit as n grows?
The polygon approaches a circle of the same apothem.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.