
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 5 inches (smaller one) and 7 inches (larger one). The region inside the smaller circle is painted green and the region between the two circles is painted yellow. Calculate the ratio of the yellow-painted area to the green-painted area.
A) $\frac{24}{25}$
B) $\frac{25}{24}$
C) $\frac{49}{25}$
D) $\frac{25}{49}$

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