Question

Plz hurry and answer this correctly!!!

Answer 1

`\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`