Circles A, B, and C each have radius 1 . Circles A and B share one point of tangency. Circle C has a point of tangency with the midpoint of \overline{A B}. What is the area inside circle C but outside circle A and circle B ?
Answer Choices
A. 3-\dfrac{\pi}{2}
B. \dfrac{\pi}{2}
C. 2
D. \dfrac{3 \pi}{4}
E. 1+\dfrac{\pi}{2}
