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2007 AMC 10B Question 13

AMC10 · 2007 AMC 10B

Question 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?
  1. $\pi-2$
  2. $\dfrac{\pi}{2}$
  3. $\dfrac{\pi\sqrt3}{3}$
  4. $2(\pi-2)$
  5. $\pi$