NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension: Questions 1 of 816

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Question

MCQ▾

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 m when it has traced out 72° at the center, then the length of the rope is

Choices

Choice (4) Response
a. 72 m
b. 70 m
c. 80 m
d. 85 m

Answer

b.

Explanation

Here, as per given data below figure is developed,

Circular path of horse

Circular Path of Horse

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So, angle made at center on circular path:

Now, from the formula of circular angle with radius: