
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
Given that the area of the shaded region is $\frac{32}{\pi}$, and the radius of the smaller circle is three times smaller than the radius of the larger circle. What is the circumference of the smaller circle?

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