Plz hurry and answer this correctly!!!

Question

asked Aug 24, 2020 213k views

1 Answer

Duckbenny · Answer 1 · 2020-08-31T01:26:09+0000

Answer:

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

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

$A_O=(16)/(25)\pi\ cm^2$

Substitute:

$\pi r^2=(16)/(25)\pi$ divdie both sides by π

$r^2=(16)/(25)\to r=\sqrt{(16)/(25)}\\\\r=(√(16))/(√(25))\\\\r=(4)/(5)\ cm$

Calculate the perimeter:

$P_O=2\pi\left((4)/(5)\right)=(8)/(5)\pi$