
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 piece of rope fits exactly twice around the perimeter of a rectangle with length 20 and width 10. Rounded to the nearest whole number, what is the area of the largest circle that can be formed from this piece of rope?

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