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2011 AMC 10A Problem 18

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2011 AMC 10A Problem 18AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 5 min · position P16-20

Circles A,B,A, B, and CC each have radius 1. Circles AA and BB share one point of tangency. Circle CC has a point of tangency with the midpoint of AB‾\overline{AB} . What is the area inside Circle CC but outside circle AA and circle BB  ?

  1. A)

    3−π23 - \frac{\pi}{2}

  2. B)

    π2\frac{\pi}{2}

  3. C)

    22

  4. D)

    3π4\frac{3\pi}{4}

  5. E)

    1+π21+\frac{\pi}{2}

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