📐 Geometry

Regular Polygon Calculator

Calculate the area, perimeter and angles of any regular polygon.

Results

Area
64.9519052838
Perimeter
30
Interior angle
120.0000°
Apothem
4.33012701892

📊 Regular Polygon Calculator chart

Area by number of sides.

What is the Regular Polygon Calculator?

Calculate the area, perimeter and angles of any regular polygon. These geometry calculators work out area, perimeter, volume and surface area for common shapes. Units are flexible — enter every length in the same unit and the answer comes back in that unit (squared or cubed).

Regular Polygon Calculator – free online geometry tool illustration
Regular Polygon Calculator — free, exact and private.

How to use the Regular Polygon Calculator

  1. Enter your number of sides, your side length.
  2. Results update automatically as you type; you can also press Calculate.
  3. Read the output: area, perimeter, interior angle, apothem.
  4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

A = n s² ÷ (4 tan(π/n))

Worked example

With number of sides = 6, side length = 5, the Regular Polygon Calculator returns area: 64.9519052838; perimeter: 30; interior angle: 120.0000°.

Tips for better results

  • Keep all measurements in one unit before calculating.
  • Area units are squared (m², ft²) and volume units are cubed (m³, ft³).
  • Use our area and volume converters to switch units afterwards.

Frequently asked questions

What does the Regular Polygon Calculator do?

Calculate the area, perimeter and angles of any regular polygon.

How is it calculated?

The Regular Polygon Calculator uses this method: A = n s² ÷ (4 tan(π/n)).

Can you show an example?

With number of sides = 6, side length = 5, the Regular Polygon Calculator returns area: 64.9519052838; perimeter: 30; interior angle: 120.0000°.

Is the Regular Polygon Calculator accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Regular Polygon Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

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