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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 response

Respuesta :

So, [tex]C \propto d[/tex]

Therefore the constant of proportionality is [tex]\pi[/tex]

Step-by-step explanation:

Let the radius of a circle be r

The circumference of a circle is(C) [tex]=2\pi r[/tex]

                                                          [tex]=\pi d[/tex]      [∵2r =d= diameter]

Therefore [tex]C = \pi d[/tex]

Since the value of [tex]\pi[/tex] is always constant. Here the diameter and the circumference are the variables.

So, [tex]C \propto d[/tex]

Therefore the constant of proportionality is [tex]\pi[/tex]

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