
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
A sector of a circle has a central angle of $2$ radians and a perimeter of $8$ cm. What is its area?

A) $4\text{ cm}^2$
B) $6\text{ cm}^2$
C) $8\text{ cm}^2$
D) $16\text{ cm}^2$

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