Question

# A wheel has diameter $84cm$. Find how many complete revolutions must it take to cover $792meters$

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Solution

## Let $r$ be the radius of the wheelDiameter $=84cm$$2r=84\phantom{\rule{0ex}{0ex}}r=\frac{84}{2}\phantom{\rule{0ex}{0ex}}r=42cm$Circumference of the wheel $=2\pi r$ $=2×\frac{22}{7}×42\phantom{\rule{0ex}{0ex}}=264cm\phantom{\rule{0ex}{0ex}}=2.64m\left[\because 1cm=\frac{1}{100}m\right]$So, the wheel covers $2.64meters$ in one complete revolution .Total number of revolutions in covering $792meters=\frac{729}{2.64}$ $=300$Therefore, the wheel takes $300$ revolutions to cover $792meters.$

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