
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
A regular square is inscribed in a circle and another regular square is circumscribed about the same circle. What is the ratio of the area of the larger square to the area of the smaller square?

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