Difference between revisions of "2010 AMC 8 Problems/Problem 19"
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Revision as of 13:39, 11 March 2012
Problem
The two circles pictured have the same center . Chord is tangent to the inner circle at , is , and chord has length . What is the area between the two circles?
Solution
Since is isosceles, bisects . Thus . From the Pythagorean Theorem, . Thus the area between the two circles is