Compute the area of any regular polygon, a shape with equal sides and equal angles, from the number of sides and the side length. The area equals one quarter times the number of sides n times the side length squared, divided by the tangent of pi over n, which is the standard closed form for a regular polygon. For example, a regular pentagon with side 6 has an area of about 61.94 square units. This calculator works for triangles, squares, pentagons, hexagons, heptagons and beyond, and it also shows the perimeter and the interior angle. Regular polygons appear in tiling, nuts and bolts, game boards and architecture. Enter a whole number of sides of three or more plus the side length in any unit, and the area returns in that unit squared. All of the trigonometry runs locally in your browser at full precision with a one click copy.
It uses the number of sides and the side length, combining them with the apothem to find the enclosed area of the equal-sided shape.
The apothem is the distance from the center to the middle of a side, and it links the side length to the area.
The perimeter is the number of sides multiplied by the side length.
Compute the area of any regular polygon, a shape with equal sides and equal angles, from the number of sides and the side length. The area equals one quarter times the number of sides n times the side length squared, divided by the tangent of pi over n, which is the standard closed form for a regular polygon.
Yes. Regular Polygon Area Calculator is completely free, with no sign-up and no usage limits.
Yes. Regular Polygon Area Calculator runs in any modern web browser. There is nothing to download or install.
Yes. Regular Polygon Area Calculator runs entirely on your device in your browser, so nothing you enter is uploaded to a server.