Instantly compute the area, perimeter, and radii of any regular polygon online.
Perimeter (P) • Inradius (r) • Circumradius (R)
Area (A)
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Step 01
Input the number of sides or vertices (n >= 3).
Step 02
Input the length of an individual side (s).
Step 03
Instantly compute the area, perimeter, inradius, and circumradius.
Step 04
Expand the details to review the mathematical formula breakdown.
| Property | Formula | Description |
|---|---|---|
| Area (A) | A = (n · s²) / (4 · tan(π / n)) | Total area of the polygon. |
| Perimeter (P) | P = n · s | Sum of all side lengths. |
| Interior Angle | α = ((n - 2) · 180°) / n | Angle between adjacent sides. |
The number of sides (n) must be at least 3 (triangle).
Keep measurement units consistent for the side length.
Great for tiling, architecture, and geometric layouts.
Legal Disclaimer: Calculators serve as educational reference guides.
A regular polygon is a polygon with all sides of equal length and all interior angles of equal measure.
The perimeter P is the product of the number of sides n and the side length s (P = n * s).
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