Regular Polygons

The following elements of a regular polygon are calculated if one of them is given:

• Side   a
• Incircle radius   r_i
• Circumcircle radius   r_c
• Perimeter   u
• Area   A

Example:

Given:
¯¯¯¯¯¯ 
       Vertices  n = 6
Circumcircle rc = 1
 
Results:
¯¯¯¯¯¯¯ 
           Side  a = 1
        Incircle ri = 0,8660254
   Perimeter  p = 6
           Area  A = 2,5980762