
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's area is painted red, while the portion outside the smaller circle but within the larger circle is painted blue. What is the ratio of the blue-painted area to the red-painted area?
A) 2
B) 3
C) 4
D) 6
E) 8

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