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2009 AMC 10A Problem 6

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2009 AMC 10A Problem 6AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 2 of 5 · about 2 min · position P1-10

A circle of radius 22 is inscribed in a semicircle, as shown. The area inside the semicircle but outside the circle is shaded. What fraction of the semicircle's area is shaded?

figure

  1. A)

    12\frac{1}{2}

  2. B)

    π6\frac{\pi}{6}

  3. C)

    2π\frac{2}{\pi}

  4. D)

    23\frac{2}{3}

  5. E)

    3π\frac{3}{\pi}

Working