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The diameter of a wheel is 1.26 meter. How far will it travel in 500 revolutions?

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1880 meters

1885 meters

1990 meters

1980 meters

answer is D.

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Detailed Solution

Given diameter of the wheel d=1.26 m. Thus, the radius of the wheel,

r = \frac{1.26}{2} m

r = 0.63 m

Here, the distance covered in 1 complete revolution will be equal to perimeter of wheel. Thus,
distance=

2 π r

\begin{matrix} distance = 2 \frac{22}{7} (0.63) \\ distance = 3.96 m \end{matrix}

Now, the distance covered in 500 revolutions

= 500 \times 3.96 m

= 1980 m
Hence, it will travel 1980 meters.
option 4 is correct.

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