
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
The base radius of a cone is 1, and its height is 2. What is the central angle of the cone's lateral surface when it is unfolded? (Express the answer in radians)

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