
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 circle of radius 3 centered at point $A$ and a square with side length 6 having its center at point $A$, calculate the difference between the area of the region that lies inside the circle but outside the square and the area of the region that lies inside the square but outside the circle.

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