Ashley has a large rug and a small rug, as shown. Each rug is in the shape of a circle. The radius of the large rug is 3 times the circumference of the small rug. Which of the following statements is true? A.
The area of the large rug is 3 times the area of the small rug.

B.
The area of the large rug is 6 times the area of the small rug.

C.
The area of the large rug is 9 times the area of the small rug.

D.
The area of the large rug is 12 times the area of the small rug.