Free Polygons Calculator - Using various input scenarios of a polygon such as side length, number of sides, apothem, and radius, this calculator determines Perimeter or a polygon and Area of the polygon.
This also determines interior angles of a polygon and diagonals of a polygon as well as the total number of 1 vertex diagonals.

This calculator has 5 inputs.

This calculator has 5 inputs.

P = n x s

A = s^{2}n/4tan(π/n)

Interior Angle Sum = (n - 2) x 180°

Diagonals = n(n - 3)/2

1 vertex Diagonals = n - 3

Triangles = N - 2

5 sides = Pentagon

6 sides = Hexagon

7 sides = Heptagon

8 sides = Octagon

9 sides = Nonagon

10 sides = Decagon

For more math formulas, check out our Formula Dossier

A = s

Interior Angle Sum = (n - 2) x 180°

Diagonals = n(n - 3)/2

1 vertex Diagonals = n - 3

Triangles = N - 2

5 sides = Pentagon

6 sides = Hexagon

7 sides = Heptagon

8 sides = Octagon

9 sides = Nonagon

10 sides = Decagon

For more math formulas, check out our Formula Dossier

- apothem
- a line segment from the center to the midpoint of one of its sides
- area
- Number of square units covering the shape
- diagonal
- line segment that goes from one corner to another, but is not an edge
- perimeter
- The distance around a shape or object
- polygon
- A plane figure bounded by a set of straight lines
- radius
- Distance from the center of a circle to the edge

C/2π