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2016 AMC 10A Problem 15

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2016 AMC 10A Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 2 of 5 · about 2 min · position P11-15

Seven cookies of radius 11 inch are cut from a circle of cookie dough, as shown. Neighboring cookies are tangent, and all except the center cookie are tangent to the edge of the dough. The leftover scrap is reshaped to form another cookie of the same thickness. What is the radius in inches of the scrap cookie?

figure

  1. A)

    2\sqrt{2}

  2. B)

    1.51.5

  3. C)

    π\sqrt{\pi}

  4. D)

    2π\sqrt{2\pi}

  5. E)

    π\pi

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