
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 layout, the vertices of the square are the centers of four circles. Each side of the square is 10 cm, and the radius of each circle is 3 cm. Calculate the area in square centimeters of the shaded region formed by the exclusion of the parts of the circles that overlap with the square.

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