
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
Given a square and four circles, each with a radius of 3 inches, arranged as shown (same diagram as the original problem). Find the area, in square inches, of the square and the total area covered by the circles inside the square.

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