Polygon Calculator

A regular polygon has equal sides and equal angles: an equilateral triangle, square, pentagon, hexagon and so on. Its measurements follow from the number of sides and one side length.

Results update as you type.

Area

41.56921938

regular hexagon

Perimeter
24
Each interior angle
120°
Sum of interior angles
720°
Apothem (centre to side)
3.464101615
Number of diagonals
9

About this calculator

Enter both.

How to use it

  1. Enter the number of sides.
  2. Enter the side length.
  3. Read the results.

The formula

Area = ½ × perimeter × apothem; interior angle = 180° − 360° ÷ n
apothem
distance from centre to a side
n
number of sides

Worked example

A hexagon with side 4

  1. Apothem ≈ 3.464; area ≈ 41.57.
  2. Interior angle 120°; 9 diagonals.

What the result means

Hexagons tile a floor perfectly, which is why bees use them.

Assumptions

  • All lengths in the same unit.

Limitations

  • Results are rounded to 10 significant figures.

Frequently asked questions

What is the interior angle of a regular hexagon?

120°.

How many diagonals does a polygon have?

n(n − 3) ÷ 2.

What is the sum of interior angles?

(n − 2) × 180°.

Last reviewed on 3 October 2026. Found a mistake? Tell us.