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Question
Select the correct option from the given alternatives :
A horse is tied to a post by a rope. If the horse moves along a circular path, always keeping the rope tight and describes 88 metres when it traces the angle of 72° at the centre, then the length of the rope is
Options
70 m
55 m
40 m
35 m
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Solution
70 m
Explanation:
θ = 72°
= `(72 xx pi/180)"c"`
= `((2pi)/5)^"c"`
S = 88 m
S = rθ
∴ 88 = `"r"((2pi)/5)`
∴ r = `88 xx 5/(2pi)`
= `88 xx 5/(2(22/7)`
= 70 m
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