
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 circular piece of paper with a radius of 6 inches is used to form a cone. A $120^\circ$ sector of this circle is cut out and the edges of the remaining paper are glued together. What is the circumference of the base of the resulting cone? Express your answer in terms of $\pi$.

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