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2005 AMC 10B Problem 7

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2005 AMC 10B Problem 7AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 2 of 5 · about 3 min · position P1-10

A circle is inscribed in a square, then a square is inscribed in this circle, and finally, a circle is inscribed in this square. What is the ratio of the area of the smallest circle to the area of the largest square?

  1. A)

    π16\frac{\pi}{16}

  2. B)

    π8\frac{\pi}{8}

  3. C)

    3π16\frac{3\pi}{16}

  4. D)

    π4\frac{\pi}{4}

  5. E)

    π2\frac{\pi}{2}

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