For this case we have that by definition, the circumference of a circle is given by:
[tex]C = \pi * d[/tex]
Where:
d: It is the diameter of the circle
We have as data that:
[tex]C = 6 \pi[/tex]
So:
[tex]6 \pi = \pi * d[/tex]
Thus, the diameter of the circle is 6, therefore the radius is 3.
The area of a circle is given by:
[tex]A = \pi * r ^ 2[/tex]
Where:
r: It is the radius of the circle
[tex]A = \pi * 3 ^ 2\\A = 9 \pi[/tex]
Answer:
Option B
