
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 circle has a radius \(3\) units. Line segments of length \(2\) units each are tangent to the circle at one endpoint. Find the area of the region consisting of all such line segments.
A) $9\pi$
B) $13\pi$
C) $4\pi$
D) $12$

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