
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 diagram, there are four identical circles arranged such that each circle touches two others and all four circles are tangent to a common circle at their centers. The circumference of each of the smaller circles is 48. What is the perimeter of the shaded region formed at the center where all four circles touch each other?

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