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A Pendulum Swings Through an Angle of 30° and Describes an Arc 8.8 Cm in Length. Find the Length of the Pendulum. - Mathematics

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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 the pendulum.

Sum

Solution

Given:
Length of the arc  = 8.8 cm

And,

θ = 30° 

Now,

Length of the arc` = (2pi"r"theta)/360`

`=> 8.8 =(2xx22/7xx"r"xx360)/(360)`

`=>"r" = (8.8xx360xx7)/(44xx30)`

∴ r = 16.8 cm

 Length of the pendulum = 16.8 cm

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Chapter 18: Area of Circle, Sector and Segment - Exercise 18A [Page 820]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 19 | Page 820

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