
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. The smallest circle is painted red, the middle region (between the smallest and the middle circle) is painted blue, and the outermost region (between the middle circle and the largest circle) is painted green. What is the ratio of the area of the green-painted region to the blue-painted region?
A) \(\frac{1}{3}\)  
B) \(\frac{3}{5}\)  
C) \(\frac{5}{3}\)  
D) \(\frac{9}{5}\)  
E) \(\frac{11}{5}\)

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