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2024 AMC 10B Problem 21

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2024 AMC 10B Problem 21AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 4 of 5 · about 7 min · position P21-25

Two straight pipes (circular cylinders), with radii 11 and 14\frac{1}{4} , lie parallel and in contact on a flat floor. The figure below shows a head-on view. What is the sum of the possible radii of a third parallel pipe lying on the same floor and in contact with both?

figure

  1. A)

    19\frac{1}{9}

  2. B)

    11

  3. C)

    109\frac{10}{9}

  4. D)

    119\frac{11}{9}

  5. E)

    199\frac{19}{9}

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