1951 AHSME Problem 48

The area of a square inscribed in a semicircle is to the area of the square inscribed in the entire circle as:

\textbf{(A)}\ 1: 2\qquad\textbf{(B)}\ 2: 3\qquad\textbf{(C)}\ 2: 5\qquad\textbf{(D)}\ 3: 4\qquad\textbf{(E)}\ 3: 5

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