Respuesta :

Answer:

24π inches

Step-by-step explanation:

The area of a circle is denoted by: [tex]A=\pi r^2[/tex], where r is the radius. Here, we know that the area is A = [tex]144\pi[/tex], so we can plug this in to find r:

[tex]A=\pi r^2[/tex]

[tex]144\pi[/tex] = [tex]\pi r^2[/tex]

[tex]r^2=144[/tex]

r = 12

The circumference is denoted by: [tex]C=2\pi r[/tex], where r is the radius. We've found the radius so just plug 12 in for r:

[tex]C=2\pi r[/tex]

[tex]C=2\pi *12=24\pi[/tex]

Thus, the circumference is 24π inches.

Hope this helps!

Answer:

24π in

Step-by-step explanation:

Area = π × r²

144π = π × r²

r² = 144

r = 12

Circumference = 2 π × r

= 2 × π × 12

= 24π in