
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
Three distinct concentric circles have radii 5, 3, and 2. Two lines pass through their center, creating shaded regions. If the area of the shaded regions is $\frac{7}{11}$ of the area of the unshaded regions, what is the radian measure of the acute angle $\theta$ formed by the two lines?
A) \( \frac{\pi}{3} \)
B) \( \frac{\pi}{4} \)
C) \( \frac{\pi}{6} \)
D) \( \frac{5\pi}{8} \)

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