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Question

A point p is selected randomly from the interior of the circle, then the probability that is closer to the center of the circle rather than its boundary.

A
23
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B
14
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C
34
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D
13
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Solution

The correct option is B 14
Let p be a point inside the circle of radius r. Point p is closer to the centre of the circle rather than its boundary, then P must lie inside a circle whose radius is less than r2
Probability of the point p which lies within the circle
=π(r2)2πr2=14

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