
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 $4$, find the area of the region consisting of all line segments of length $8$ that are tangent to the circle at their midpoints.
A) $8\pi$
B) $12\pi$
C) $16\pi$
D) $20\pi$
E) $24\pi$

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