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The distance covered (in metres) by a wheel of radius 25 cm in 350 rounds is (use \(\pi = \frac{22}{7}\)) :

  • A.1100
  • B.275
  • C.550
  • D.825

Answer: C

The wheel covers 550 metres.

In one round the wheel covers its circumference:

\[ \begin{aligned} 2\pi r &= 2 \times \tfrac{22}{7} \times 25 = \tfrac{1100}{7} \text{ cm} \\ 350 \times \tfrac{1100}{7} &= 55000 \text{ cm} = 550 \text{ m} \end{aligned} \]

1100 m comes from using the diameter 50 cm as the radius, and 275 m from using \(\pi r\) instead of \(2\pi r\).

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