AMC8 1987 Problem 22

A B C D is a rectangle, D is the center of the circle, and B is on the circle. If A D=4 and C D=3, then the area of the shaded region is between

Answer Choices
A. 4 and 5
B. 5 and 6
C. 6 and 7
D. 7 and 8
E. 8 and 9