Answer: [tex]2.25\ pi[/tex]
Step-by-step explanation:
We are given that the circumference of a circle = [tex]3\pi[/tex]
Now, we know that the circumference of a circle is given by :-
[tex]\text{Circumference}=2\pi r=\\\\\Rightarrow\ 3\pi=2\pi r\\\\\Rightarrow\ r=\dfrac{3}{2}\text{ units}[/tex]
Also, the area of a circle is given by :-
[tex]\text{Area}=\pi r^2\\\\\Rightarrow\text{Area}=\pi(\dfrac{3}{2})^2=\dfrac{9}{4}\pi=2.25\pi[/tex]
Hence, the area of the circle = [tex]2.25\ pi[/tex]
