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 `72^@` at the centre, find the length of the rope.

Explanation

Let us denote the post by P and let PA be the length of the rope in the tightest position. Suppose that the horse moves along the arc AB so that `angle APB =72^@`


and arc `AB=88 m`


Let the length of the rope P A be r meters.


Then, `theta = 72^@`


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