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2012 AMC 10B Problem 16

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2012 AMC 10B Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 2 of 5 · about 3 min · position P16-20

Three circles with radius 2 are mutually tangent. What is the total area of the circles and the region bounded by them, as shown in the figure?

figure

  1. A)

    10π+4310\pi+4\sqrt{3}

  2. B)

    13π−313\pi-\sqrt{3}

  3. C)

    12π+312\pi+\sqrt{3}

  4. D)

    10π+910\pi+9

  5. E)

    13π13\pi

Working