Question

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

Answer 1

Let r be the radius of the wheel. Then,

Diameter = 84 cm

$2r=84$

$r=42$ cm

Circumference of the wheel = $2\pi r=264cm=2.64m$

So, the wheel covers 2.64 meters in one complete revolution.

Total number of revolutions in covering 792 meters = $\frac{792}{2.64}=300$.

Hence, the wheel takes 300 revolutions in covering 792 meters.