
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
The number of inches in the perimeter of a square equals the number of square inches in the area of its inscribed circle. What is the diameter, in inches, of the circle? Express your answer in terms of pi and in simplest form.

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