
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
Three concentric circles have diameters of 2 inches, 6 inches, and 10 inches. The smallest circle is painted red, the region between the smallest and the middle circle is painted blue, and the region between the middle and the largest circle is painted green. Calculate the ratio of the area painted green to the area painted red.

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