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

Question

asked May 25, 2019 210k views

1 Answer

Cania · Answer 1 · 2019-05-29T10:15:47+0000

Answer:

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

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,
$(C)/(4) = \pi$