# 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.

The Length Of The Rope.

$theta = 72°$

= (72 * frac{Pi}{180}) c

= $(frac{2Pi}{5})^{c}$

= s = 88 m

= $s = rTheta$

= $therefore 88 = r (frac{2Pi}{5})$

= $therefore r = 88 * frac {5}{2Pi}$

= $88 * frac {5}{2(frac{22}{7})}$

= 70 m

Therefore, the length of the rope is 70 m

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