
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
In a design, there exists a large circle with a radius of 9 meters. Inside this large circle, three smaller congruent circles are arranged such that each touches two others and all three touch the large circle internally, in a triangular formation as the vertices of an equilateral triangle. What is the radius in meters of one of the three smaller circles?

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