
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
Xiao Ming wants to make a cone model. Its lateral surface is made from a sector of a circle with a radius of 9 cm and a central angle of 240°. He also needs a circular piece of cardboard for the base. What is the radius of this circular cardboard in cm?

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