A region within a semicircle is shaded. If D is the diameter of the semicircle, what is the area of the shaded region?
A. 3πD2/8
B. πD2/16
C. πD2/4
D. 3πD2/16
E. πD2/8
The area of a circle is πD2/4 and the area of a semicircle is πD2/8.
So, the area of the shaded region within the semicircle must be less than πD2/8. The only option is πD2/16.