Determine whether the realtionship between the circumference of a circle and its diameter is a direct variation. if so, identify the constant of porportionatlity. justify your r…

Question

asked Jan 16, 2021 163k views

1 Answer

Michelle Williamson · Answer 1 · 2021-01-19T19:01:57+0000

Explanation:

Let the radius of a circle be r

The circumference of a circle is(C)
$=2\pi r$

$=\pi d$ [∵2r =d= diameter]

Therefore
$C = \pi d$

Since the value of
$\pi$ is always constant. Here the diameter and the circumference are the variables.

So,
$C \propto d$

Therefore the constant of proportionality is
$\pi$