
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
An octagon has a side length of 5. Congruent arcs with a radius of 4 are drawn with their centers at each of the vertices, creating circular sectors. Calculate the area of the region inside the octagon but outside the circular sectors.
A) \( 50 - 12\pi \)  
B) \( 50 - 16\pi \)  
C) \( 100 - 16\pi \)  
D) \( 100 - 32\pi \)

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