Mock AIME 3 Pre 2005 Problems/Problem 1

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also