Polygon Area
Free Polygon Area calculator with clear step-by-step results.
About Polygon Area
Area of a regular polygon from its side length and side count.
Formula
Formula
Area = perimeter × apothem ÷ 2
Worked example
With the default values below, Polygon Area returns Area of 93.531. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Side lengthminimum 0
- 6
- Number of sidesaccepts 3–20
- 6
Results
- Area
- 93.531
- Apothem
- 5.196
- Perimeter
- 36.000
Step by step
- 1Values used
- 2Formula
- 3Area= 93.531
- 4Apothem= 5.196
- 5Perimeter= 36.000
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
Area of a regular polygon from its side length and side count.
Why does this matter?
For a regular polygon only.