
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
We placed a square tablecloth on a circular table in such a way that their centers coincide. The circumference of the circle and the square are equal. What percentage of the table's surface area is covered by the tablecloth?

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