AMC 8 1987 Problem 22

$\text{ABCD}$ is a rectangle, $\text{D}$ is the center of the circle, and $\text{B}$ is on the circle. If $\text{AD}=4$ and $\text{CD}=3$, then the area of the shaded region is between

$\text{(A)}\ 4\text{ and }5 \text{(B)}\ 5\text{ and }6 \text{(C)}\ 6\text{ and }7 \text{(D)}\ 7\text{ and }8 \text{(E)}\ 8\text{ and }9$