
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 arrangement similar to the one described, the vertices of a square are the centers of four circles as well. If each side of the square is now 10 cm and the radius of each circle is 3 cm, calculate the area of the shaded region formed similarly.

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