A horse is tied to a post by a rope. If the horse moves

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A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched and describes 88 metres when it has traced out 72° at the centre, the length of the rope is (Take π = 22/7)

1. 70 m
2. 75 m
3. 80 m
4. 65 m

Correct Option: A

θ = 72° → 88m

∵ 360° →	88	× 360 = 440 m
	72

⇒ 2pr = 440

r =	440	.	7
	2		22

∴ r = 70m = OA which is the length of the rope.