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

Answer:

$\frac{C}{4} = \pi$

Step-by-step 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;

$\frac{C}{4} = \pi$

Therefore, the  the ratio of the circumference of a circle to its diameter is, $\frac{C}{4} = \pi$

Answer 2

Your answer would be C/4 = π.

Pi is the ratio of a circle's circumference to its diameter.