## Problem of the Day #365: Circles and Triangles
*March 18, 2012*

*Posted by Alex in : potd , trackback*

Circles $A$, $B$, and $C$ have radii $12$, $16$, and $20$ respectively and are externally tangent to each other. Find the area of the region inside the incircle of $\triangle ABC$ but outside circles $A$, $B$, and $C$.

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