Answer:
The relationship between the circumference of a circle and its diameter represent a direct variation
The constant of proportionality is equal to [tex]\pi[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
Let
C=y
D=x
substitute
[tex]y=\pi x[/tex]
therefore
The relationship between the circumference of a circle and its diameter represent a direct variation
The constant of proportionality is equal to [tex]\pi[/tex]
