Question

an elastic belt is placed round the rim of a pulley of radius 5cm. one point on the belt is pulled directly away from the centre O of the pulley until it is at p , 10 cm away from the O . find the length of the belt that is in contact with the rim of the pulley . also find the shaded are of pab if pa and pb are tangents from same external points.

Answer 1

length of belt is 20pie upon 3cm
area of shaded portion is 25/3(3√3-pie)cm square