
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 square is circumscribed around a circle. The number of inches in the perimeter of the square is equal to the number of square inches in the area of the circle. What is the diameter of the circle in terms of pi and simplest radical form?

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