Question

A wheel of radius $70$ cm starts moving in such a way that point A comes from bottom to top as shown. The distance travelled by the wheel is ____ cm.

• A. $220$
• B. $440$
• C. $100$
• D. $120$

Answer 1

The correct option is A $220$

As point A comes from bottom to top, the wheel would have completed half a rotation, i.e, the wheel would have moved half of its perimeter.

$\therefore$ Distance travelled by the wheel

$=\frac{1}{2}\times 2\pi r$

$=\pi r$

$=\frac{22}{7}\times 70$ ($\because$ given, radius $=70$ cm)

​​​​​​​$=220$ cm

$\therefore$ Distance travelled by the wheel ​​​​​​​$=220$ cm