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Pavlova-9 [17]
3 years ago
10

Identify the circumference of ⊙S in which A=64π ft^2. HELP ASAP!!

Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0

Answer:

C = 16π ft

Step-by-step explanation:

If we know the area

A = pi r^2

64 pi = pi r^2

Divide each side by pi

64 = r^2

Take the square root of each side

8 = r

The radius is 8

Now we can find the circumference

C = 2 *pi*r

C = 2*pi*8

C = 16pi

gtnhenbr [62]3 years ago
5 0

Answer:

\large\boxed{C=16\pi\ ft^2}

Step-by-step explanation:

The formula of an area of a circle:

A_O=\pi r^2

r - radius

We have

A_O=64\pi\ ft^2

Substitute:

\pi r^2=64\pi               <em>divide both sides by π</em>

r^2=64\to r=\sqrt{64}\\\\r=8\ ft

The formula of a circumference:

C=2\pi r

Substitute:

C=2\pi(8)=16\pi\ ft

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