AMC8 2013 Problem 20

A 1 \times 2 rectangle is inscribed in a semicircle with the longer side on the diameter. What is the area of the semicircle?

Answer Choices
A. \dfrac{\pi}{2}
B. \dfrac{2 \pi}{3}
C. \pi
D. \dfrac{4 \pi}{3}
E. \dfrac{5 \pi}{3}