
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 the provided diagram, four identical circles are arranged such that each circle touches two others, and all four circles are externally tangent to each other. The circumference of each circle is 48. What is the perimeter of the shaded region formed at the center, surrounded by the arcs connecting the tangency points? Assume each shaded arc subtends a \(90^\circ\) angle at the center of its respective circle.

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