
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
In a geometric drawing exercise, a student sketches a "sun" that is represented by a sector of a circle. The circle has a radius of $2$ cm, and the sector (the sun's face) that is complete has a central angle of $120^\circ$. Determine the perimeter of the sun in centimeters.
A) \(4\pi + 2\)
B) \(\frac{4}{3}\pi\)
C) \(8\)
D) \(4\pi\)
E) \(\frac{4}{3}\pi + 4\)

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