Question

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.

Answer 1

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
`\pi`

Explanation:

we know that

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

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

`C=\pi D`

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
`\pi`