
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 concentric circles have radii 4, 3, and 2 respectively. Two distinct lines cross through the center of these circles dividing them in such a way that the area of the shaded region formed is $\frac{9}{17}$ of the area of the unshaded region. Find the radian measure of the acute angle formed by the two lines.
A) $\frac{30\pi}{187}$
B) $\frac{36\pi}{187}$
C) $\frac{40\pi}{187}$
D) $\frac{45\pi}{187}$

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