Q.

A point is selected at random from the interior of a circle. The probability that the point is closer to the centre than the boundary of the circle is

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a

34

b

12

c

14

d

13

answer is C.

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Detailed Solution

Radius of the circle=r⇒n(S)=πr2                n(E)=π(r2)2=πr24             P(E)=πr24πr2=14 The probability that the point is closer to the centre than the boundary of the  circle is 14
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A point is selected at random from the interior of a circle. The probability that the point is closer to the centre than the boundary of the circle is