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How many times a wheel of radius 28 cm must rotate to go 352 m? (Take π=227) - Mathematics

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Question

How many times a wheel of radius 28 cm must rotate to go 352 m? (Take `pi = 22/7`)

Sum

Solution

Radius of wheel (r) = 28 cm

Circumference of wheel = 2πr

= `2 xx 22/7 xx 28` cm

= 176 cm

Distance covered by wheel in 1 revolution = 176 cm

Total distance covered by wheel = 352 m

= 35,200 cm

Total number of rounds = `"Total distance to be covered"/"circumference of wheel"`

= `(352 xx 100)/176`

= `(35200)/176`

= 200

Therefore, it will rotate 200 times.

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Chapter 11: Perimeter and Area - Exercise 11.3 [Page 224]

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NCERT Mathematics [English] Class 7
Chapter 11 Perimeter and Area
Exercise 11.3 | Q 16 | Page 224

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