turkey-yks 2020 Q35

turkey-yks · Other · yks-ayt Circles Area and Geometric Measurement Involving Circles
In the figure, a semicircle with center A and radius $[AC]$ and a semicircle with center B and radius $[BC]$ are given. Point B is on the circle centered at A, and point A is on the circle centered at B.
Accordingly, what is the area of the shaded region in square units?
A) $36\pi$
B) $42\pi$
C) $48\pi$
D) $54\pi$
E) $60\pi$
In the figure, a semicircle with center A and radius $[AC]$ and a semicircle with center B and radius $[BC]$ are given. Point B is on the circle centered at A, and point A is on the circle centered at B.

Accordingly, what is the area of the shaded region in square units?\\
A) $36\pi$\\
B) $42\pi$\\
C) $48\pi$\\
D) $54\pi$\\
E) $60\pi$