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Math Calculators

Regular Polygon Area Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Area

259.8000

Perimeter
60.00

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Regular Polygon Area Calculator

The Regular Polygon Area Calculator works out your area, along with 1 related figure in an instant. Enter number of sides, side length and apothem (centre to edge) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the number of sides.
  2. Enter the side length.
  3. Enter the apothem (centre to edge).
  4. Read off your area, together with perimeter — the calculator updates automatically, with no button to press.

Formula

The Regular Polygon Area Calculator uses the formula:

Area = 0.5 × Number of sides × Side length × Apothem (centre to edge)

Worked example

For example, with number of sides of 6, side length of 10 and apothem (centre to edge) of 8.66, the area is 259.8000.

Inputs used
Number of sides 6
Side length 10
Apothem (centre to edge) 8.66
Results
Area 259.8000
Perimeter 60.00

Results are estimates for educational use, not professional advice.

Key terms explained

Perimeter
The total distance around the outside of a two-dimensional shape.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Multiply half the perimeter by the apothem: area = ½ × sides × side length × apothem. A hexagon of side 10 and apothem 8.66 is about 259.8.

It is the distance from the centre to the midpoint of a side, the radius of the inscribed circle.

Each polygon splits into triangles with the apothem as height, so half-base times height summed gives the area.

Yes, for any shape with three or more equal sides, as long as you enter the matching apothem.

Enter the number of sides. Enter the side length. Enter the apothem (centre to edge). Read off your area, together with perimeter — the calculator updates automatically, with no button to press.

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