
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 the diagram below, three concentric circles are drawn. The smallest circle has a radius of 3 feet. The second circle has a radius double that of the smallest, and the third circle has a radius triple that of the smallest. Calculate the total area of the shaded regions outside the smallest circle but inside the largest circle, excluding the area covered by the second circle.

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