
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, there are two concentric circles where the radius of the outer circle is three times the radius of the inner circle. The width of the gray region between the two circles is 3 feet. Determine the area of the gray region in square feet, expressing your answer in terms of \( \pi \).

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