Circle $A$ has a diameter of 12 inches and circle $B$ has a diameter of 22 inches. What is the ratio of the area of circle $A$ to the area of circle $B$? Express your answer as a common fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Circle $A$ has a diameter of 12 inches and circle $B$ has a diameter of 22 inches. What is the ratio of the area of circle $A$ to the area of circle $B$? Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{36}{121}
Circle $A$ has a diameter of 12 inches and circle $B$ has a diameter of 22 inches. What is the ratio of the area of circle $A$ to the area of circle $B$? Express your answer as a common fraction.
train