Regular Polygon
Find area, perimeter, apothem and circumradius for a regular polygon.
Your numbers
Area
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Use A = ns²/[4tan(π/n)] and P = ns. n is the number of equal sides and s is side length. The tangent uses radians. A is area and P is perimeter.
Find area, perimeter, apothem and circumradius for a regular polygon.
Worked example
- Number of sides
- 6
- Side length (m)
- 2
- Area
- 10.3923048454 m²
- Perimeter
- 12 m
- Apothem
- 1.73205080757 m
- Circumradius
- 2 m
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 9f2c57b773d7 · Example checked: