Zerdly

Regular Polygon Area Calculator

Calculate the area and perimeter of any regular polygon from its number of sides and side length free in your browser with this polygon area calculator.

100% FreeRuns in your browserBasic
How to use this calculator

Enter Values

Shape

6 sides
Enter your values and press Calculate to see results.

Before you rely on this: First-pass guide only. Verify safety-critical or regulated work against the relevant standards, your project requirements and a qualified professional.

How to use this calculator

  1. Enter the number of sides and the side length.
  2. Press Calculate.

How it works

Area = (n × side²) ÷ (4 × tan(π ÷ n)) for an n-sided regular polygon.

Worked example

6 sides, 2 m. ≈ 10.39 m² (a hexagon).

Common mistakes

  • Using this for irregular polygons — it needs equal sides and angles.
  • Mixing the side length with the apothem or radius; use the input the tool asks for.

Frequently asked questions

How do I find the area of a regular polygon?

Area = ¼ × n × side² × cot(π ÷ n), where n is the number of sides — or ½ × perimeter × apothem.

Does it work for any number of sides?

Yes, for any regular polygon; as the side count grows, the shape approaches a circle and the area nears πr².

What counts as a regular polygon?

One with all sides and all angles equal — like a square, regular hexagon or octagon. Enter the number of sides and the side length.

Related tools

Explore more in Geometry, Shape, Area & Volume.

Cite this tool

Zerdly. (2026). Regular Polygon Area Calculator. Retrieved from https://www.zerdly.com/tools/regular-polygon-area-calculator/

Tip: Enter any known values to calculate the remaining results.

All calculations run in your browser. Your inputs are never saved or transmitted.