Question

Plz hurry and answer this correctly!!!

Answer 1

Answer:

$\large\boxed{C)\ \dfrac{8}{5}\pi\ cm}$

Step-by-step explanation:

The formula of an area of a circle:

$A_O=\pi r^2$

The formula of a perimeter of a circle:

$P_O=2\pi r$

r - radius

We have the area of a circle

$A_O=\dfrac{16}{25}\pi\ cm^2$

Substitute:

$\pi r^2=\dfrac{16}{25}\pi$     divdie both sides by π

$r^2=\dfrac{16}{25}\to r=\sqrt{\dfrac{16}{25}}\\\\r=\dfrac{\sqrt{16}}{\sqrt{25}}\\\\r=\dfrac{4}{5}\ cm$

Calculate the perimeter:

$P_O=2\pi\left(\dfrac{4}{5}\right)=\dfrac{8}{5}\pi$