**Theorem 5.8b**: The area of an {n/k} star inscribed in a
circle of radius r is

**proof**: If we look at the following figure

we see that the star can be divided into n blue regions which are obtained by taking the orange isosceles triangle away from the isosceles triangle which are obtained by combining the orange and blue triangle. A simple application of Corollary 5.1b yields the result.