Question

If the difference between the circumference and the radius of a circle is 37 cm, then us $\pi =\frac{22}{7}$, the circumference (in cm) of the circle is:

• A. 154
• B. 44
• C. 14
• D. 7

Answer 1

The correct option is B

44

Difference between circumference and radius of the circle = 37 cm

Let r be the radius of the circle.

$\therefore 2\pi r-r=37cmr(2\pi -1)=37cmr(2\times \frac{22}{7}-1)=37cmr\times \frac{37}{7}=37cmr=7cm$
$\therefore$ Circumference of the circle $=2\pi r=2\times \frac{22}{7}\times 7cm=44cm$
The correct answer is 44 which is given by option B.