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Question

In the following figure, the area of the shaded region is 20% of the area of the whole circle centered at P. The angle shown measures d degrees. What is its measurement in radians?
489402_5621541247d3437ca4f0d3b2ced64804.png

A
15π
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B
25π
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C
45π
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D
215π
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E
415π
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Solution

The correct option is D 25π
Since the shaded region occupies 20 % of the whole circle, it occupies 15 of the circle.
We know that 3600 or 2π is the angle within one full circle.
Hence, angle d0=15×2π=2π5

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