P.o.t.W. #15 Solution
Consider the calculations for the area of regular polygons with \(n = 3,\;4,\;5 and \(6 sides inscribed within a circle of radius \(r . In each case, the polygon can be divided into \(2n identical right triangles each with an area of \(\frac{{bh}}{2} where \(b and \(h are, respectively, the base and height of the right triangle. The calculations clearly show that the area of each regular polygon is...