5π cm
1) Since the Diameter is 5 cm and the diameter of a circle is twice the radius, then the radius is 2.5 cm
[tex]\begin{gathered} D=2R \\ 5=2R \\ R=\frac{5}{2}\text{ or 2.5} \end{gathered}[/tex]2) To find out the Circumference, we must plug into that the radius measure.
[tex]\begin{gathered} C=2\pi R \\ C=2\pi\cdot\frac{5}{2} \\ C=5\pi \end{gathered}[/tex]3) Hence, the Circumference (Perimeter) is 5π cm