
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
Determine the area of the smallest region enclosed by the graphs of $y=|x|$ and $x^2+y^2=9$.
A) $\frac{3\pi}{2}$  
B) $\frac{9\pi}{4}$  
C) $6\pi$  
D) $\frac{9\pi}{2}$  
E) $3\pi$

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