
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
As shown in the diagram, circles are drawn with four vertices $A, B, C,$ and $D$ of a regular octagon as their centers and with the side length of the octagon as the radius. The intersection points of the circles are $E, F, G,$ and $H$. If the side length of the regular octagon is 100 cm, then what is the perimeter of the shaded area in centimeters? (Take $\pi$ as 3.14).

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