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A point is selected at random from the i...

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

A

`(1)/(4)`

B

`(1)/(6)`

C

`(3)/(4)`

D

It cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
A
If r is the radius of circle , `A = pir^(2)`

Probability `= (pi((r)/(2))^(2))/(pir^(2)) = (pir^(2))/(4) xx (1)/(pir^(2)) = (1)/(4)`
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