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AnnZ [28]
3 years ago
15

Plz hurry and answer this correctly!!!

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

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     <em>divdie both sides by π</em>

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

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