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Question

A horse is tied to a post by a rope. If the horse moves along a circular path, always keeping the rope tight and describe 88metres when it traces 72° at the centre, find the length of the rope.


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Solution

θ=72×π180=2π5

If r be the radius of the circle,

Then,

θ=lr2π5=88rr=88×52πr=88×52×722r=70m

Hence, the length of the rope is 70m.


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