The diameters of the semicircles above are \(8,\) and the diameter of the semicircle on the right is perpendicular to

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The diameters of the semicircles above are \(8,\) and the diameter of the semicircle on the right is perpendicular to those of the other two semicircles. What is the total area of the shaded region?

A. \(12\pi + 64\)
B. \(24\pi + 12\)
C. \(24\pi + 48\)
D. \(32\pi + 48\)
E. \(32\pi + 64\)

Answer: C

Source: Princeton Review
Source: — Problem Solving |