
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 vertices of a square are the centers of four circles as shown below. Given each side of the square is 8cm and the radius of each circle is 3cm, find the area in square centimeters of the shaded region. The diagram is the same as the previous problem, with the only difference being the numerical values of the side and radius.

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