Answer:
Step-by-step explanation:
Circumference is found in
[tex]C=2\pi r[/tex] while area is [tex]A=\pi r^2[/tex]
Since we know the circumference value, we can plug it in and solve for r:
Since [tex]C=2\pi r[/tex] and [tex]C=19\pi[/tex] , then
[tex]19\pi=2\pi r[/tex] and
[tex]\frac{19\pi}{2\pi}=r[/tex] The pi's cancel out, leaving us with the fact that
[tex]r=\frac{19}{2}=9.5[/tex]
We will use that now in the area formula:
[tex]A=\pi(9.5)^2[/tex] so
A = 90.25π
