Find the area of the shaded portion of the semicircular figure.

• A.\(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)
• B.\(\frac{r^2}{4}(2 \pi - 3 \sqrt{3})\)
• C.\(\frac{1}{2}r^2 \pi\)
• D.\(\frac{1}{8}r^2 \sqrt{3}\)
• E.\(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)