The shaded region below is called a shark's fin falcata, a figure studied by Leonardo da Vinci. It is bounded by the portion of the circle of radius 3 and center (0,0) that lies in the first quadrant, the portion of the circle with radius 23 and center (0,23) that lies in the first quadrant, and the line segment from (0,0) to (3,0). What is the area of the shark's fin falcata?
[asy]
import cse5;pathpen=black;pointpen=black;
size(1.5inch);
D(MP("x",(3.5,0),S)--(0,0)--MP("\frac{3}{2}",(0,3/2),W)--MP("y",(0,3.5),W));
path P=(0,0)--MP("3",(3,0),S)..(3*dir(45))..MP("3",(0,3),W)--(0,3)..(3/2,3/2)..cycle;
draw(P,linewidth(2));
fill(P,gray);
[/asy]
<spanclass=′latex−bold′>(A)</span>54π<spanclass=′latex−bold′>(B)</span>89π<spanclass=′latex−bold′>(C)</span>34π<spanclass=′latex−bold′>(D)</span>57π<spanclass=′latex−bold′>(E)</span>23π