This Area of a Polygon (Outer Radius) calculator computes the area of a regular polygon with (n) equal sides inside of an outer radius (r).
INSTRUCTIONS: Choose units and enter the following:
Total Area: The area (A) is computed and returned in square meters. However, this can be automatically converted to other area units via the pull-down menu.
The formula for the area of a polygon based on the number of sides and outer radius is:
A = ½• n • r² • sin( (2π) / n)
A regular n-sided polygon is a polygon with n equal length sides and is a polygon which has n equal angles at the n vertices of the polygon. Because of the symmetry of this construction, all the vertices of the regular polygon lie on the circle and the sides of the regular polygons form n chords of the circle.