Answer:
[tex]\large\boxed{C)\ \dfrac{8}{5}\pi\ cm}[/tex]
Step-by-step explanation:
The formula of an area of a circle:
[tex]A_O=\pi r^2[/tex]
The formula of a perimeter of a circle:
[tex]P_O=2\pi r[/tex]
r - radius
We have the area of a circle
[tex]A_O=\dfrac{16}{25}\pi\ cm^2[/tex]
Substitute:
[tex]\pi r^2=\dfrac{16}{25}\pi[/tex] divdie both sides by π
[tex]r^2=\dfrac{16}{25}\to r=\sqrt{\dfrac{16}{25}}\\\\r=\dfrac{\sqrt{16}}{\sqrt{25}}\\\\r=\dfrac{4}{5}\ cm[/tex]
Calculate the perimeter:
[tex]P_O=2\pi\left(\dfrac{4}{5}\right)=\dfrac{8}{5}\pi[/tex]
