1958 AHSME Problem 16

The area of a circle inscribed in a regular hexagon is 100\pi. The area of hexagon is:

\textbf{(A)}\ 600\qquad \textbf{(B)}\ 300\qquad \textbf{(C)}\ 200\sqrt{2}\qquad \textbf{(D)}\ 200\sqrt{3}\qquad \textbf{(E)}\ 120\sqrt{5}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.