
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, $4$ inches, and $6$ inches, respectively. The smallest circle is painted red, the area between the smallest and the middle circle is painted blue, and the area between the middle circle and the largest circle is painted green. What is the ratio of the green-painted area to the red-painted area?
A) 3
B) 4
C) 5
D) 6
E) 9

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