
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
During the Southern Song Dynasty, the renowned mathematician Qin Jiushao presented a problem in his work "Mathematical Treatise in Nine Sections," Volume 5, under the category "Problems on Fields": "There is a triangular sand field with three sides measuring 13 li, 14 li, and 15 li respectively. Given that 1 li is equivalent to 300 steps, find the radius of the circumcircle of this triangular sand field in meters."

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