
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
When deriving the formula for calculating the area of a circle, the circle is divided into several equal parts and rearranged to form an approximate rectangle. Given that the perimeter of this rectangle is 20.7 centimeters, the length is blank centimeters.

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