Question

If π is taken as $\frac{22}{7}$, the distance (in metres) covered by a wheel of diameter 35 cm, in one revolution, is

(a) 2.2

(b) 1.1

(c) 9.625

(d) 96.25

Answer 1

The disstance covered by the wheel in one revolution is equal to the circumference of the wheel.
$$\begin{gathered} \mathrm{Circumference}=\mathrm{\pi }{r}^2 \\ =\frac{22}{7}{\left(\frac{35}{2}\right)}^2 \\ =\frac{22}{7}{\left(\frac{35}{2}\right)}^2 \\ =962.5\mathrm{cm} \end{gathered}$$
The distance covered by the wheel in one revolution (in m) is given by
$\frac{962.5}{100}=9.625\mathrm{m}$
Hence, the correct answer is option (c).