
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
Bhaskara states that if the diameter of a circle is 2000, then the side length of a regular triangle inscribed in the circle will be $1732 \frac{1}{20}$, the side length of a square will be $-1414 \frac{13}{60}$, the side length of a hexagon will be 1000, and the side length of an octagon will be $765 \frac{11}{30}$. Verify the correctness of this statement.

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