Answer:
[tex]C =30\pi[/tex]
Step-by-step explanation:
The circumference [tex]C[/tex] of the the circle with radius [tex]r[/tex] is
[tex]C=2\pi r[/tex],
and the diameter [tex]d[/tex] is 2 times the radius:
[tex]d=2r[/tex].
Therefore, the ratio of the circumference to the diameter is
[tex]\dfrac{C}{d} =\dfrac{2\pi r }{2r}[/tex]
[tex]\dfrac{C}{d} =\pi.[/tex]
And since the diameter of our circle is
[tex]d= 2r= 2*15 =30[/tex],
the ratio of the circumference to he diameter we get is
[tex]\dfrac{C}{30} =\pi.[/tex]
which can be rewritten as
[tex]\boxed{C =30\pi. }[/tex]
