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2004 AMC 10B Problem 16

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2004 AMC 10B Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 4 min · position P16-20

Three circles of radius 11 are externally tangent to each other and internally tangent to a larger circle. What is the radius of the large circle?

  1. A)

    2+63\frac{2 + \sqrt{6}}{3}

  2. B)

    22

  3. C)

    2+322\frac{2 + 3\sqrt{2}}{2}

  4. D)

    3+233\frac{3 + 2\sqrt{3}}{3}

  5. E)

    3+32\frac{3 + \sqrt{3}}{2}

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