The Correct answer is C.

Explanation

Segment??is a radius of the large semicircle, and it is also a diameter of the shaded circle, so the radius of the large semicircle is equal to twice the radius of the shaded circle. Let??be the radius of the shaded circle. Then??is the radius of the large semicircle, and so the area of the semicircle is?. This area is given as?, and so the area of the shaded circle is?.