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An elastic belt is placed round the rim ...

An elastic belt is placed round the rim of a pulled of radius 5cm. One point on the belt is pulled directly away from the centre `O` of the pulley until it is at P, 10cm from O. Find the length of the belt that is in contact with the rim of the pulley. Also, find the shaded area.

A

`(pi)/(20)cm,(3)/(25)cm(3-sqrt(3)-pi)cm^(2)`

B

`(25pi)/(3)cm,(1)/(3)(3sqrt(3)-pi)cm^(2)`

C

`(pi)/(3)cm,(25)/(3)(2sqrt(3)-pi)cm^(2)`

D

`(20pi)/(3)cm,(25)/(3)(3sqrt(3)-pi)cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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