The Polygon Calculator provides equations that compute the area, the length of sides, and the perimeters of various regular polygons.
Polygon Area: - This tab contains equations for computing the area of a regular polygon:
Polygon Side: - This tab contains equations for computing the length of the sides of a regular polygon:
Polygon Perimeter: - This tab contains equations for computing the perimeter of a regular polygon:
A regular polygon is a polygon with n equal length sides. A regular polygon also has n equal angles at the n vertices of the polygon. Because of the symmetry of the regular polygon, all the vertices of the polygon can be constructed to touch a circle in which the regular polygon is inscribed and all the chords that are polygon sides will then obviously be of equal length . Likewise, because of the regular polygon's symmetry, a circle constructed to be inscribed in a regular polygon and touching the polygon will touch the regular polygon at the midpoint of the polygon side. As shown in the pictures, Figure 1 and Figure 2, lines from the regular polygon's vertices to the circle's center form n isosceles triangles of equal area.