Question

If the difference between the circumference and the radius of a circle is 37 cm, then using`22/7`, the circumference (in cm) of the circle is:

Options

• (A) 154

• (B) 44

• (C) 14

• (D) 7

Answer 1

Difference between circumference and radius of the circle = 37 cm

Let r be the radius of the circle.

`therefore 2 pi r-r=37 cm`

`rArr r(2pi-1)=37cm`

`rArr r(2xx22/7-1)=37 cm`

`rArrrxx37/7=37cm`

`rArrr=7cm`

∴ Circumference of the circle = `2pir=2xx22/7xx7cm=44cm`