
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 1 cm, draw quarter-circles with centers at \(A\), \(B\), \(C\), and \(D\) and radius 1 cm. The points of intersection are \(E\), \(F\), \(G\), and \(H\). Given that \(\pi = 3.141\), find the circumference of the shaded region in the middle.

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