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CBSE Class 10 Maths (Standard) 2016 · Paper 30/1/1 · Question 30

Areas Related to Circles 4 marks Hard
An elastic belt is placed around the rim of a pulley of radius 5 cm. (Fig. 10) From one point C on the belt, the elastic belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm from the point O. Find the length of the belt that is still in contact with the pulley. Also find the shaded area.
O P A B C 5 cm θ Fig. 10
Fig. 10

Answer

Belt in contact cm (the major arc); shaded area cm².

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