Question

If the difference between the circumference and the radius of a circle is 37 cm.find the circumference of a circle

Answer 1

Hello... ☺

Let r be the radius of circle.

Difference between circumference and radius of circle = 37 cm

Circumference
= 2r
= 2 ✖ 22➗7 ✖r =
44➗7 ✖r

Difference between circumference and radius of circle....

= 2r ➖ r

37 = 44➗7 ✖ r ➖ r

37 = r(44➗7➖1)

37 = r(44 ➖ 7)➗7

37 = 37 ➗7 ✖ r

37 ✖ 7➗37 = r

r = 7 cm

Circumference :-

= 44➗7 ✖ r
= 44➗7 ✖7
 = 44 cm . 

∴ Circumference of circle = 44 cm

thank you ☺

Answer 2

Let the radius of the circle be r.

Circumference of circle =2πr

Difference between circumference and radius= 37 cm.
$2\pi \: r - r = 37 \\ r(2 \times 3.14- 1) = 37 \\ r(6.28 - 1) = 37 \\ r = \frac{37}{5.28} \\ r = 7$
$circumference = 2\pi \: r \\ = 2 \times \frac{22}{7} \times 7 \\ = 2 \times 22 \\ = 44cm$