Question

A wheel makes $2000$ revolutions in covering a distance of $887\text{km}$. Find the radius of the wheel.

Answer 1

$\text{Distance covered in}1\text{revolution}=\frac{\text{Total distance}}{\text{Total revolutions}}$

$=\frac{88\times 1000}{2000}$

$=447\text{m}$

Now,

Circumference of wheel $=1$ revolution of the wheel

$2\pi r=44$

$\Rightarrow 2\times \frac{22}{7}\times r=44$

$\Rightarrow r=7\text{m}$

Hence, the radius of the wheel is $77\text{m}$.