Find the area, perimeter, apothem and angles of any regular polygon from its side count and side length.
Result
How to use this tool
Type 3 or more: 3 for a triangle, 4 for a square, 6 for a hexagon.
Use one length, since every side of a regular polygon is the same.
The headline result is the area; perimeter and apothem follow below.
Interior and exterior angles are shown for drawing or construction use.
Formula & worked example
A regular hexagon with side 2 has apothem 1.732, perimeter 12 and area 10.392 square units.
Limitations — read this before you rely on it
Regular polygons only. Side lengths must be positive and the side count a whole number from 3 to 1000.
Frequently asked questions
A polygon with all sides and all interior angles equal, such as a square or a regular hexagon.
The distance from the centre to the midpoint of a side. It is the radius of the inscribed circle.
Area equals half the perimeter times the apothem, which is exact for any regular polygon.
Whatever length unit you enter: if the side is in centimetres, the area is in square centimetres.
No. Irregular polygons need their own side lengths and angles, so this formula does not apply.