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If π is taken as 227 the distance (in metres) covered by a wheel of diameter 35 cm, in one revolution, is - Mathematics

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Question

If π is taken as `22/7` the distance (in metres) covered by a wheel of diameter 35 cm, in one revolution, is

Options

  •  2.2

  • 1.1

  •  9.625

  •  96.25

MCQ
Sum

Solution

Diameter of wheel (d) = 35 cm
Radius of wheel (r) = `"d"/2 = 35/2` cm

∴ The distance covered by the wheel in 1 revolution is equal to the circumference of the wheel = 2πr

= `2 × 22/7 × 35/2`

= `cancel2 × 22/(cancel(7)1) × (cancel(35)5)/cancel2`

= 22 × 5

= 110 cm

The distance covered by the wheel in one revolution (in m) is given by = `110/100` = 1.1 m

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Chapter 13: Areas Related to Circles - Exercise 13.6 [Page 74]

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RD Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
Exercise 13.6 | Q 47 | Page 74

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