
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 a diagram with two concentric circles, the radius of the outer circle is three times the radius of the inner circle. The width of the gray region between them is 3 feet. What is the area of the gray region, in square feet? Express your answer in terms of $\pi$.

[asy]
filldraw(circle((0,0),6),gray);
filldraw(circle((0,0),3),white);
draw((3,0)--(6,0),linewidth(1));
label("$3^{\prime}$",(4.5,0),N);
[/asy]

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