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2021 AMC Fall 10B Problem 11

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2021 AMC Fall 10B Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 4 min · position P11-15

A regular hexagon of side length 11{ } is inscribed in a circle. Each minor arc of the circle determined by a side of the hexagon is reflected over that side. What is the area of the region bounded by these 66 reflected arcs?

  1. A)

    532−π\frac{5\sqrt{3}}{2} - \pi

  2. B)

    33−π3\sqrt{3}-\pi

  3. C)

    43−3π24\sqrt{3}-\frac{3\pi}{2}

  4. D)

    π−32\pi - \frac{\sqrt{3}}{2}

  5. E)

    π+32\frac{\pi + \sqrt{3}}{2}

Working