Circles of radius 2 and 3 are externally tangent and are circumscribed by a third circle, as shown in the figure. Find the area of the shaded region.
[asy]unitsize(3mm);
defaultpen(linewidth(0.7)+fontsize(8));filldraw(Circle((0,0),5),grey,black);
filldraw(Circle((-2,0),3),white,black);
filldraw(Circle((3,0),2),white,black);
dot((-2,0));
dot((3,0));
draw((-2,0)--(1,0));
draw((3,0)--(5,0));
label("3",(-0.5,0),N);
label("2",(4,0),N);[/asy]
<spanclass=′latex−bold′>(A)</span>3π<spanclass=′latex−bold′>(B)</span>4π<spanclass=′latex−bold′>(C)</span>6π<spanclass=′latex−bold′>(D)</span>9π<spanclass=′latex−bold′>(E)</span>12π