Question

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

C = 24π ft
C = 32π ft
C = 16π ft
C = 8π ft

Answer 1

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

Answer 2

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:

$\pi r^2=64\pi$               divide both sides by π

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

The formula of a circumference:

$C=2\pi r$

Substitute:

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