2006 AMC 12A Problems/Problem 13

Revision as of 19:06, 4 November 2006 by Lotrgreengrapes7926 (talk | contribs) (Problem)


2006 AMC 12A Problem 13.gif

The vertices of a $3-4-5$ right triangle are the centers of three mutually externally tangent circles, as shown. What is the sum of the areas of the three circles?

$\mathrm{(A) \ } 12\pi\qquad \mathrm{(B) \ } \frac{25\pi}{2}\qquad \mathrm{(C) \ } 13\pi\qquad \mathrm{(D) \ } \frac{27\pi}{2}\qquad\mathrm{(E) \ }  14\pi$


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


See also

Invalid username
Login to AoPS