Question

FIND THE DISTANCE COVERED BY THE WHAEEL OF A TRUCK OF A TRUCK IN 100 ROTATIONS IF THE DIAMETER OF WHEEL IS 49 CM.

Answer 1

$$\begin{gathered} \mathrm{Diameter}\mathrm{of}\mathrm{the}\mathrm{wheel}=d=49\mathrm{cm} \\ \mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{wheel}=r=\frac{d}{2}=\frac{49}{2}\mathrm{cm} \end{gathered}$$

$$\begin{gathered} \mathrm{circumference}\mathrm{of}\mathrm{wheel}=2\mathrm{\pi }r=2\times \frac{22}{7}\times \frac{49}{2}=154\mathrm{cm} \\ \mathrm{distance}\mathrm{covered}\mathrm{by}\mathrm{wheel}\mathrm{in}1\mathrm{rotation}=\mathrm{circumference}\mathrm{of}\mathrm{wheel}=154\mathrm{cm} \\ \mathrm{so},\mathrm{distance}\mathrm{covered}\mathrm{by}\mathrm{wheel}\mathrm{in}100\mathrm{rotations}=154\times 100=15400\mathrm{cm}=154\mathrm{m}\left[\mathrm{as},1\mathrm{m}=100\mathrm{cm}\right] \end{gathered}$$