
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 1 cm, quarter circles are drawn with centers at \(A, B, C,\) and \(D\) and a radius of 1 cm. The points of intersection are \(E, F, G,\) and \(H\). Find the perimeter of the shaded area in the middle. (Use \(\pi = 3.141\)).

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