
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 circle with radius \( R \) is divided into 4 large and 4 small parts, which alternate with each other. The large part is twice as long as the small part. Determine the area of the octagon whose vertices are the points of division on the circle.

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