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A wheel makes 2000 rounds in covering a distance of 44 km. Find the radius of the wheel?

  • A.3 m
  • B.3.5 m
  • C.2.2 m
  • D.4.4 m

Answer: B

In one round the wheel covers one circumference, so the circumference is the distance divided by the number of rounds.

\[ 2\pi r = \frac{44000\ \text{m}}{2000} = 22\ \text{m} \]

\[ r = \frac{22}{2\pi} \] \[ r = \frac{22 \times 7}{2 \times 22} = 3.5\ \text{m} \]

Here \(\pi\) is taken as 22/7. The value of 4.4 m is a diameter-like figure that comes from forgetting the factor of 2, and 3 m and 2.2 m do not result. The answer is 3.5 m, option B.

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