HKD1710 wrote:

In the figure above, the five circles have points in common as shown. P is the center of the largest circle, Q and R are centers of the medium-sized circles, and Q, P, and R are points on a straight line. What fraction of the largest circular region is shaded?

(A) \(\frac{1}{16}\)

(B) \(\frac{1}{8}\)

(C) \(\frac{3}{16}\)

(D) \(\frac{1}{4}\)

(E) \(\frac{1}{2}\)

Let the radius of bigger circle = 8

radius of smallest circle = 4

radius of shaded circle = 2

Area of a largest circle = 64

Area of shaded circles = 8

8/64

1/8

B

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