2008 Fermat Problem 13

In the diagram, the circles with centres P, Q and R have radii 3, 2 and 1 respectively. Each circle touches the other two as shown. The area of \triangle PQR is

\textbf{(A)}\ 12\quad \textbf{(B)}\ 6\quad \textbf{(C)}\ 7.5\quad \textbf{(D)}\ 10\quad \textbf{(E)}\ 4

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.