RRB Junior Engineer Stage 1 Model Papers 7

Question : 21 of 100

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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

)

70 m
75 m
80 m
65 m

Validate

Solution:

θ = 72°

∵180°=π

radius

∴72°=π/180×72

={2π}/5

radians
Arc AB = s = 88 metre

θ=s/r

⇒{2π}/5=88/r

⇒2πr=88/r

⇒r={88×5}/2π={88×5×7}/{2×22}=70

metre

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