
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
A room is built in the shape of the region between two semicircles with the same center and parallel diameters. The farthest distance between two points with a clear line of sight is  $12$ m. What is the area (in  $m^2$ ) of the room?

![Image](https://cdn.artofproblemsolving.com/attachments/b/c/d2b2fc9fa9cca27dc9d692a1bb3089ba792063.png)

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