选择题

2010 AMC 8 Problem 23: Semicircles Through the Center

Semicircles POQ and ROS pass through the center O. What is the ratio of the combined areas of the two semicircles to the area of circle O?

A.
sqrt(2)/4
B.
1/2
C.
2/pi
D.
2/3
E.
sqrt(2)/2