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

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