
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
There are two circles with the same center. The smaller circle has a diameter of 2 inches and is painted yellow. The larger circle has a diameter of 6 inches. The ring formed between the two circles is painted green. You need to find the ratio of the area of the green-painted region to the yellow-painted area.
A) 2
B) 4
C) 6
D) 7
E) 8

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