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Question

A pendulum swings through an angle of 30 and describes an arc 8.8 cm in length. Find the length of pendulum in cm.


A

14.5

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B

15.1

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C

17.3

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D

16.8

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Solution

The correct option is D

16.8


Let r be the length of the pendulum.

Given: Length of arc = 8.8 cm.
AOB=30

Length of an arc of a sector of an angle θ=θ360×2πr

8.8=30°360°×2×227×r

r=8.8×2111=16.8 cm


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