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The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?

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Question

The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?

Sum
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Solution

Radius of the wheel = 42 cm

Circumference of the wheel = 2πr

`= 2 xx 22/7xx420`

= 264 cm

`=264/100  "m" `

= 2.64 m

Distance covered by the wheel in 1 revolution = 2.64 m

Total distance = 19.8 km or 19800 m

∴ Number of revolutions taken by the wheel `=19800/2.64 = 7500`

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Chapter 16: Area of Circle, Sector and Segment - EXERCISE 16A [Page 732]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 16 Area of Circle, Sector and Segment
EXERCISE 16A | Q 30. | Page 732
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