Question

The diameter of a wheel is 70 cm. How many times the wheel will revolve in order to cover a distance of 110 m?

Answer 1

Given that,

The diameter of the wheel is $70cm$.

It covers a distance of $110m$.

To find out,

How many times will the wheel revolve in order to cover the distance?

We know that, the distance covered by the wheel in one revolution $=$ circumference of the wheel.

Radius of the wheel $=\frac{70}{2}$

$=35cm$

We know that, the circumference of a circle is $2\pi r$

So, the circumference of the wheel $=2\times \frac{22}{7}\times 35[\because \pi =\frac{22}{7}]$

$=220cm$

Also, $100cm=1m$

Hence, $220cm=2.2m$

Now, if the wheel covers $2.2m$ in one revolution, then,

Number of revolutions it will take to cover $110m=\frac{110}{2.2}$

$=50$

Hence, the wheel will revolve $50times$ in order to cover a distance of $110m$.