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2010 AMC 10B Problem 16

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2010 AMC 10B Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 5 min · position P16-20

A square of side length 11 and a circle of radius 33\dfrac{\sqrt{3}}{3} share the same center. What is the area inside the circle, but outside the square?

  1. A)

    π3−1\dfrac{\pi}{3}-1

  2. B)

    2π9−33\dfrac{2\pi}{9}-\dfrac{\sqrt{3}}{3}

  3. C)

    π18\dfrac{\pi}{18}

  4. D)

    14\dfrac{1}{4}

  5. E)

    2π9\dfrac{2\pi}{9}

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