
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
There are 3 circles, each pair of which touches each other externally. Their radii are \(r_{1}, r_{2}, r_{3}\). Find the area enclosed between the 3 circles. Calculate this area numerically if \(r_{1}=4\), \(r_{2}=9\), and \(r_{3}=36\).

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