
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 \(ABCD\) with side length of 2 cm, draw quarter circles with a radius of 2 cm centered at points \(A, B, C, D\). The intersection points of these arcs are \(E, F, G, H\) as shown in the diagram. What is the circumference of the shaded area in the middle? Use \(\pi = 3.141\).

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