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2021 AMC Fall 10A Problem 15

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2021 AMC Fall 10A Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 5 min · position P11-15

Isosceles triangle ABCABC has AB=AC=36AB = AC = 3\sqrt6 , and a circle with radius 525\sqrt2 is tangent to line ABAB at BB and to line ACAC at CC . What is the area of the circle that passes through vertices AA , BB , and C?C?

  1. A)

    24π24\pi

  2. B)

    25π25\pi

  3. C)

    26π26\pi

  4. D)

    27π27\pi

  5. E)

    28π28\pi

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