What is the number of times a wheel of radius 28 cm must rotate to cover a distance of 352 metre?

Given: Radius (r) of the wheel = 28 cm

And distance = 352 metre

= 35,200 cm     [Since 100 cm = 1 metre]

We know that,

$\mathbf{Circumference}\mathbf{ }\mathbf{of}\mathbf{ }\mathbf{a}\mathbf{ }\mathbf{circle}\mathbf{=}\mathbf{2}\mathbf{\pi r}$

Substituting the values

= $2\times \frac{22}{7}\times 28$

$\mathbf{Circumference}\mathbf{ }\mathbf{of}\mathbf{ }\mathbf{a}\mathbf{ }\mathbf{wheel}\mathbf{=}\mathbf{176}\mathbf{ }\mathbf{cm}$

So, the wheel can cover 176 cm in one rotation.

Now, to find the number of rotations required to cover 35,200 cm,

= $\frac{\mathbf{Total}\mathbf{ }\mathbf{distance}}{\mathbf{Circumference}\mathbf{ }\mathbf{of}\mathbf{ }\mathbf{the}\mathbf{ }\mathbf{circle}}$

= $\frac{35,200 \mathrm{cm}}{176 \mathrm{cm}}$

= 200

Therefore, 200 rotations will be required to cover 352 metre.