
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, there is a larger circle with center $O$ and a smaller circle inside it, where the smaller circle touches the larger circle at two distinct points, and both circles share a common horizontal diameter line. The area of the larger circle is $144\pi$. Each circle's upper half is shaded. Calculate the total area of the shaded regions.

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