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 of radius \dfrac{3}{2} and center \left(0, \dfrac{3}{2}\right) 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?
Answer Choices
A. \dfrac{4 \pi}{5}
B. \dfrac{9 \pi}{8}
C. \dfrac{4 \pi}{3}
D. \dfrac{7 \pi}{5}
E. \dfrac{3 \pi}{2}