AMC 8 1986 Problem 23

The large circle has diameter $\text{AC}$. The two small circles have their centers on $\text{AC}$ and just touch at $\text{O}$, the center of the large circle. If each small circle has radius $1$, what is the value of the ratio of the area of the shaded region to the area of one of the small circles?

$\text{(A)}\ \text{between }\frac{1}{2}\text{ and 1} \text{(B)}\ 1 \text{(C)}\ \text{between 1 and }\frac{3}{2}$ $\text{(D)}\ \text{between }\frac{3}{2}\text{ and 2} \text{(E)}\ \text{cannot be determined from the information given}$