
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
An equilateral triangle has sides measuring \(1\). Semicircular arcs are constructed on each side of the triangle. Calculate the perimeter of the region enclosed by these semicircular arcs.

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