
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 smaller circle with radius 5 units. There is also a larger concentric circle with a radius of 10 units. Calculate the length of the arc intercepted by one side of the octagon in the larger circle.
A) $1.5\pi$ units
B) $2\pi$ units
C) $2.5\pi$ units
D) $3\pi$ units

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