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2004 AMC 10A Problem 23

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2004 AMC 10A Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 4 of 5 · about 8 min · position P21-25

Circles A,BA, B and CC are externally tangent to each other, and internally tangent to circle DD . Circles BB and CC are congruent. Circle AA has radius 11 and passes through the center of DD . What is the radius of circle BB ?
figure

  1. A)

    23\frac23

  2. B)

    32\frac {\sqrt3}{2}

  3. C)

    78\frac78

  4. D)

    89\frac89

  5. E)

    1+33\frac {1 + \sqrt3}{3}

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