
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 regular hexagon has a side length of 8. Congruent arcs with radius 4 are drawn with the center at each of the vertices, each covering an angle of 90 degrees, creating circular sectors. What is the area of the region inside the hexagon but outside the sectors?
A) \(48\sqrt{3} - 12\pi\)
B) \(72\sqrt{3} - 18\pi\)
C) \(96\sqrt{3} - 24\pi\)
D) \(120\sqrt{3} - 30\pi\)
E) \(144\sqrt{3} - 36\pi\)

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