For this case we have that by definition, the circumference of a circle is given by:
![C = \pi * d](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8sedh4dd0xvka1zi6kuzjhwtedl5y34sgp.png)
Where:
d: It is the diameter of the circle
We have as data that:
![C = 6 \pi](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ha5k9evdandpvmio6dxuwptio42pclqp1m.png)
So:
![6 \pi = \pi * d](https://img.qammunity.org/2020/formulas/mathematics/middle-school/peff9rp04wc39uzwwdta992t5zyudz8li5.png)
Thus, the diameter of the circle is 6, therefore the radius is 3.
The area of a circle is given by:
![A = \pi * r ^ 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aphz99i7s3sr0ed3hfa6uoaimn1hgptyrw.png)
Where:
r: It is the radius of the circle
![A = \pi * 3 ^ 2\\A = 9 \pi](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nmxpr0pdwzn2de2mavk3v181qruij05buf.png)
Answer:
Option B