
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
In a square where each vertex is the center of a circle, each side of the square measures 8 cm and the radius of each circle is 3 cm. Determine the area of the shaded region enclosed by the square but outside the circles. Assume that the circles partially overlap the adjacent circles creating intersections just within the boundary of the square.

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