Hi there.
If you are trying to find the length of a regular polyhedron with n
sides, you can think of these n sides as taking you all the way around
a circle of 360 degrees. That means the angle subtended by a single
side is 360/n degrees.
If you have the radius and n and want to know the length of the side,
then you can use the Law of Cosines to solve for it. You have an
isoceles triangle with common length equal to the radius and the
included angle is 360/n, so:
c^{2} = a^{2} + b^{2}  2abcosC
c^{2} = r^{2} + r^{2}  2r^{2 }cos(360/n)
c^{2} = 2r^{2} (1cos(360/n))
Hope this helps,
Stephen La Rocque.
