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The number of revolutions a wheel of radius 21 cm makes in travelling a distance of 198 m is:
Question

The number of revolutions a wheel of radius 21 cm makes in travelling a distance of 198 m is:

A.

198

B.

140

C.

120

D.

150

Correct option is D

Given:

Radius of the wheel = 21 cm

Distance travelled = 198 m = 19800 cm

Formula Used:

Circumference = 2πr2\pi r

Number of revolutions=Total distance2πr\text{Number of revolutions} = \dfrac{\text{Total distance}}{2\pi r}​​

Solution:

Circumference=2×227×21=132 cmNumber of revolutions=19800132=150\text{Circumference} = 2 \times \dfrac{22}{7} \times 21 = 132 \text{ cm} \\ \text{Number of revolutions} = \dfrac{19800}{132} = 150

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