
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 a regular hexagon with side length 4, six semicircles are inscribed with their diameters along each side of the hexagon. Determine the area of the region inside the hexagon but outside all the semicircles.
A) \(48\sqrt{3} - 10\pi\)
B) \(48\sqrt{3} - 12\pi\)
C) \(50\sqrt{3} - 12\pi\)
D) \(48\sqrt{3} - 14\pi\)

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