Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify the constant of proportionality. Justify your response.

Respuesta :

Answer:

The relationship between the circumference of a circle and its diameter represent  a direct variation and the constant of proportionality is equal to the constant [tex]\pi[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y=kx[/tex]

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant [tex]\pi[/tex]

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