Question

Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?

Answer 1

Given:

Circumference of a circle = C

Diameter of a circle = d

To find:

The relationship between the circumference, c, and diameter, d, of any circle.

Solution:

We know that, circumference of a circle is

$C=2\pi r$

It can be written as

$C=(2r)\pi$

$C=d\pi$         $[\because d=2r]$

On dividing both sides by d, we get

$\dfrac{C}{d}=\pi$

Therefore, the correct option is (F).