
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
A circle is circumscribed around an equilateral triangle with side lengths of $12$ units each. Calculate the area of the circle and then the area of the triangle. Finally, find the difference between the area of the circle and the area of the triangle. Express your answer in terms of $\pi$.

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