The number of revolutions made by a bicycle wheel 56 cm in diameter in covering a distance of 1.1 km is

31.25

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625

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62.5

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312.5

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Solution

The correct option is B $625$

Diameter of circular wheel $= 2 r = 56 c m$
Circumference $= 2 π r = π (2 r) = 56 π c m$
1 revolution of wheel covers distance equal to its circumference $= 56 π c m$

Total distance covered by wheel $= 1.1 k m = 1.1 * 1000 m = 1100 m = 1100 * 100 c m = 110000 c m$
Total Distance $=$ Number of revolutions $*$ 1 revolution distance

Number of revolutions $= \frac{T o t a l D i s t a n c e}{1 r e v o l u t i o n d i s t a n c e} = \frac{110000}{56 π} = 625.25 \approx 625$

The number of revolutions made by a bicycle wheel $56$ cm in diameter in covering a distance of $1.1$ km is $625$ .

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