Respuesta :

The circumference of a circle is given by the formula

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

Where

[tex]\begin{gathered} \pi\text{ is a constant} \\ D\text{ is the diameter of the circle} \end{gathered}[/tex]

To get the diameter of the circle, we will compare the given circumference with the formula to find the circumference of a circle

[tex]C=\pi D=5\pi[/tex]

So, upon comparing

[tex]\pi D\text{ with 5}\pi[/tex][tex]\begin{gathered} \pi D=5\pi \\ \\ D=5 \end{gathered}[/tex]

Hence the diameter of the circle is 5 centimeters