Question

How many times a wheel of radius $28cm$ must rotate to go $352m$? $(Take\pi =\frac{22}{7})$

Answer 1

Perimeter(Circumference) of wheel $=2\pi r$
$=2\times \frac{22}{7}\times 28=176cm=176\times {10}^{2}m$
Distance travelled by the wheel =Number of rotation $\times$ Circumference
$\Rightarrow 352m=176\times$Number of rotations
$\Rightarrow$ Number of rotations=$\frac{352\times {10}^2}{176}$
Therefore, the number of revolutions$=200$ times.
The wheel should rotate $200$ times.