Question

The diameter of a wheel of a car is $77cm$. Find the distance covered by the wheel in $500$ revolutions.

Answer 1

Radius of the wheel $=$ Diameter of the wheel $÷$2
$\Rightarrow r=\frac{77}{2}cm$
Circumference of the wheel $=2\pi r$
$=2\times \frac{22}{7}\times \frac{77}{2}$
$=242cm$
In $1$ revolution, the wheel covers a distance equal to its circumference.
∴ Distance covered by the wheel in $1$ revolution $=242$ cm
∴ Distance covered by the wheel in $500$ revolutions $=(500\times 242)$ cm
$=121000cm$ $(100cm=1m)$
$=1210m$