Answer:
[tex]\Huge \boxed{30.25 \pi}[/tex]
Step-by-step explanation:
The circumference of a circle formula is:
[tex]C= \pi d[/tex]
The circumference is given, solve for d.
[tex]11\pi=\pi d[/tex]
Cancel [tex]\pi[/tex] from both sides.
[tex]11=d[/tex]
The radius is half the measure of the diameter.
[tex]\displaystyle r=\frac{11}{2} =5.5[/tex]
The area of a circle formula is:
[tex]A=\pi r^2[/tex]
Let r = 5.5, solve for the area.
[tex]A=\pi (5.5)^2[/tex]
[tex]A=\pi (30.25)=30.25\pi[/tex]
