
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 octagon is inscribed in a circle, and each side of the octagon is 5 units long. Find the circumference of the circle.
A) $\frac{4\pi}{\sin(22.5^\circ)}$
B) $\frac{5\pi}{\sin(22.5^\circ)}$
C) $\frac{5\pi}{\sin(45^\circ)}$
D) $\frac{10\pi}{\sin(45^\circ)}$

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