
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
The sides of a right triangle are used as diameters of three different circles. The areas of these circles sum up to 338π square centimeters. What is the number of square centimeters in the area of the largest circle?

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