1952 AHSME Problem 33

A circle and a square have the same perimeter. Then:

\begin{array}{l} \text{(A) their areas are equal}\qquad\\ \text{(B) the area of the circle is the greater} \qquad\\ \text{(C) the area of the square is the greater} \qquad\\ \text{(D) the area of the circle is } \pi \text{ times the area of the square}\qquad\\ \text{(E) none of these} \end{array}

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