
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two concentric circles have diameters of $2$ inches and $6$ inches respectively. The smaller circle is painted yellow, and the region between the smaller and larger circle is painted green. What is the ratio of the green-painted area to the yellow-painted area?
A) 2  
B) 4  
C) 6  
D) 8  
E) 9

Present the answer in LaTex format: \boxed{Your answer}
user