
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]


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A circular piece of paper with a radius of 5 inches has a section cut out, forming a \(225^\circ\) sector. This sector is then used to create a right circular cone by gluing points A and B together. Determine the circumference of the cone's base, expressed in terms of \(\pi\).

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