The large circle has diameter AC. The two small circles have their centers on AC and just touch at 0 , 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?

Answer Choices
A. between \dfrac{1}{2} and 1
B. 1
C. between 1 and \dfrac{3}{2}
D. between \dfrac{3}{2} and 2
E. cannot be determined from the information given