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2007 AMC 10B Problem 13

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2007 AMC 10B Problem 13AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 4 min · position P11-15

Two circles of radius 22 are centered at (2,0)(2,0) and at (0,2).(0,2). What is the area of the intersection of the interiors of the two circles?

  1. A)

    π−2\pi -2

  2. B)

    π2\frac{\pi}{2}

  3. C)

    π33\frac{\pi \sqrt{3}}{3}

  4. D)

    2(π−2)2(\pi -2)

  5. E)

    π\pi

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