Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 1"

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Revision as of 18:49, 19 June 2008

Problem

Three circles are mutually externally tangent. Two of the circles have radii $3$ and $7$. If the area of the triangle formed by connecting their centers is $84$, then the area of the third circle is $k\pi$ for some integer $k$. Determine $k$.

Solution

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See also