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Problem 19 (2010 AMC 8)

AMC 8Normal

From module Right Triangles and Pythagorean Triples

Problem

The two circles pictured have the same center CC. Chord AD\overline{AD} is tangent to the inner circle at BB, ACAC is 1010, and chord AD\overline{AD} has length 1616. What is the area between the two circles? [See figure in original PDF]

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