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2008 AMC 10A Problem 17

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2008 AMC 10A Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 4 min · position P16-20

An equilateral triangle has side length 6. What is the area of the region containing all points that are outside the triangle but not more than 3 units from a point on the triangle?

  1. A)

    36+24336+24\sqrt{3}

  2. B)

    54+9π54+9\pi

  3. C)

    54+183+6π54+18\sqrt{3}+6\pi

  4. D)

    (23+3)2π\left(2\sqrt{3}+3\right)^2\pi

  5. E)

    9(3+1)2π9\left(\sqrt{3}+1\right)^2\pi

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