Polygon Calculator

Regular polygon area, perimeter, apothem, circumradius, interior and exterior angles and number of diagonals.

Your result will appear here

Fill in the fields and press Calculate, or pick one of the examples.

About the Polygon Calculator

Describes a regular polygon — one with all sides and all angles equal — from its number of sides and side length: area, perimeter, apothem (inradius), circumradius, angles and number of diagonals.

How to use it

Enter the number of sides (3 or more).
Enter the side length.
Press Calculate.

Example

Hexagon with side 2

→ Area 10.3923, interior angle 120°

Formulas used

A = \tfrac{1}{2} \cdot \text{perimeter} \cdot \text{apothem}

Area from the perimeter and apothem.

\text{interior angle} = \frac{(n - 2) \cdot 180^\circ}{n}

Each interior angle of a regular n-gon.

\text{diagonals} = \frac{n(n - 3)}{2}

Number of diagonals of any n-gon.

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About the Polygon Calculator

How to use it

Formulas used

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About the Polygon Calculator

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Formulas used