AMC 12 2009a Problem 19

Andrea inscribed a circle inside a regular pentagon, circumscribed a circle around the pentagon, and calculated the area of the region between the two circles. Bethany did the same with a regular heptagon (7 sides). The areas of the two regions were $A$ and $B$, respectively. Each polygon had a side length of $2$. Which of the following is true?

\textbf{(A)}\ A = \frac {25}{49}B \textbf{(B)}\ A = \frac {5}{7}B \textbf{(C)}\ A = B \textbf{(D)}\ A$$= \frac {7}{5}B \textbf{(E)}\ A = \frac {49}{25}B