Answer: [tex]16\pi\ \text{ units}^2[/tex]
Step-by-step explanation:
We know that the circumference of a circle is given by :-
[tex]\text{Circumference}=2\pi r[/tex], where r is the radius of the circle.
Given : The circumference of a circle = [tex]8\pi[/tex]
Then , the circumference of a circle will be :-
[tex]8\pi=2\pi r\\\\\Rightarrow\ r=4\text{ units}[/tex]
Now, the area of circle is given by :-
[tex]A=\pi r^2\\\\\Rightarrow\ A=\pi(4)^2\\\\\Rightarrow\ A =16\pi\ \text{ units}^2[/tex]
