
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
An acute angle equals to \(60^{\circ}\) and contains two circles that are tangential to each other externally. The radius of the smaller circle is \(r\). Find the radius of the larger circle.

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