If π is taken as

Question:

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

(a) 2.2

(b) 1.1

(c) 9.625

(d) 96.25

Solution:

The disstance covered by the wheel in one revolution is equal to the circumference of the wheel.

Circumference $=\pi r^{2}$

$=\frac{22}{7}\left(\frac{35}{2}\right)^{2}$

$=\frac{22}{7}\left(\frac{35}{2}\right)^{2}$

$=962.5 \mathrm{~cm}$

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).

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now