
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, two concentric circles are shown where the radius of the outer circle is 1.5 times the radius of the inner circle. Calculate 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 \(\pi\).

![Diagram shown represents two concentric circles with the inner circle having a radius \( r \) and the outer circle having a radius \(1.5r\). The width of the gray region shown between the two circles is 3 feet.](URL_to_image_here)

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