
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 two concentric circles shown, the radius of the outer circle is three times the radius of the inner circle. What is the area of the gray region in square feet if the width of the gray region is 3 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