
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 an arcade game, the "monster" is the shaded segment of a circle with a radius of 3 cm. The missing piece (the mouth), represented by a central angle of 120 degrees, is not shaded. Calculate the total perimeter of the monster in cm.
A) $6\pi$
B) $4\pi + 3$
C) $6\pi + 3\sqrt{3}$
D) $4\pi + 3\sqrt{3}$
E) $12\pi$

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