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

C = 16π ft

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

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

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=√(64)\\\\r=8\ ft`

The formula of a circumference:

`C=2\pi r`

Substitute:

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