Question

The diameter of a wheel of a car is 63 cm. Find the distance travelled by the car during the period, the wheel makes 1000 revolutions.

Answer 1

It may be noted that in one revolution, the cycle covers a distance equal to the circumference of the wheel.
Now, the diameter of the wheel = 63 cm
∴ Circumference of the wheel = $\mathrm{\pi d}=\left(\frac{22}{7}\times 63\right)\mathrm{cm}=198\mathrm{cm}$.
Thus, the cycle covers 198 cm in one revolution.
∴ The distance covered by the cycle in 1000 revolutions = (198 x 1000 ) cm = 198000 cm = 1980 m.