
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 hexadecagon (16 sides) is inscribed in a circle with radius \( r \) inches. Calculate the total area and perimeter of the hexadecagon, and identify the correct values.
A) \( 3.0616 r^2, 6.2432r \)  
B) \( 3.5 r^2, 6.5r \)  
C) \( 2.5 r^2, 6.0r \)  
D) \( 4.0 r^2, 6.0r \)

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