2002 AMC 10A Problem 7

If an arc of 45^\circ on circle A has the same length as an arc of 30^\circ on circle B, then the ratio of the area of circle A to the area of circle B is

\text{(A)}\ 4/9 \qquad \text{(B)}\ 2/3 \qquad \text{(C)}\ 5/6 \qquad \text{(D)}\ 3/2 \qquad \text{(E)}\ 9/4

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