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 these circles?
Answer Choices
A. 12 \pi
B. \dfrac{25 \pi}{2}
C. 13 \pi
D. \dfrac{27 \pi}{2}
E. 14 \pi
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 these circles?
Answer Choices
A. 12 \pi
B. \dfrac{25 \pi}{2}
C. 13 \pi
D. \dfrac{27 \pi}{2}
E. 14 \pi