
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
Chantel's pizza shop introduces a new square pizza that uses the same length of dough (perimeter) as a circular pizza. If the original circular pizza has a diameter of 16 inches, what is the increase in area when switching to a square pizza with the same perimeter?

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