
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 string fits exactly around the perimeter of a square with an area of 256 square units and is then reshaped to outline a rectangle with a width that is twice its height. What is the area of the largest circle that can be formed from the length originally cut to fit around the square?

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