Mathematics>Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
In the figure above, a shaded circle with diameter line C D is tangent to a large semicircle with diameter line A B at points C and D. Point C is the center of the semicircle, and line A B is perpendicular to line C D. If the area of the large semicircle is 24, what is the area of the shaded circle?
(A) 8
(B) 10
(C) 12
(D) 14
(E) It cannot be determined from the information given.