Question

Given a circle with a diameter of 4, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Answer 1

`(C)/(4) = \pi`

Explanation:

Circumference(C) of a circle is given by:

`C = 2 \pi r` ....[1]

where, r is the radius of the circle.

As per the statement:

Given a circle with a diameter of 4.

We know that:

Diameter(D) = 2r

⇒2r = 4

Substitute the value in [1] we have;

`C = \pi \cdot (2r)`

⇒
`C =4\pi`

Divide both sides by 4 we have;

`(C)/(4) = \pi`

Therefore, the the ratio of the circumference of a circle to its diameter is,
`(C)/(4) = \pi`