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