AHSME 1952 Problem 37

Two equal parallel chords are drawn $8$ inches apart in a circle of radius $8$ inches. The area of that part of the circle that lies between the chords is: $\textbf{(A)}\ 21\frac{1}{3}\pi-32\sqrt{3} \textbf{(B)}\ 32\sqrt{3}+21\frac{1}{3}\pi \textbf{(C)}\ 32\sqrt{3}+42\frac{2}{3}\pi \\ \textbf{(D)}\ 16\sqrt {3} + 42\frac {2}{3}\pi \textbf{(E)}\ 42\frac {2}{3}\pi$