A circle of radius 2 is inscribed in a semicircle, as shown. The area inside the semicircle but outside the circle is shaded. What fraction of the semicircle’s area is shaded?
Answer Choices
A. \dfrac{1}{2}
B. \dfrac{\pi}{6}
C. \dfrac{2}{\pi}
D. \dfrac{2}{3}
E. \dfrac{3}{\pi}
