AMC 10B 2007 Problem 13

Two circles of radius 2 are centered at (2,0) and at (0,2). What is the area of the intersection of the interiors of the two circles?

Answer Choices
A. \pi-2
B. \dfrac{\pi}{2}
C. \dfrac{\pi \sqrt{3}}{3}
D. 2(\pi-2)
E. \pi