
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
Given a circle of radius \(3\), there are several line segments of length \(4\) that are tangent to the circle at their midpoints. Calculate the area of the region that consists of all such line segments.
A) \(13\pi\)
B) \(12\pi\)
C) \(4\pi\)
D) \(5\pi\)
E) \(7\pi\)

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