## Problem of the Day #365: Circles and TrianglesMarch 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 $C$.