
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
An isosceles triangle $ABC$ with $AB = AC$ is inscribed in a circle. If $AB = AC = 8$ units and $BC = 6$ units, what fraction of the area of triangle $ABC$ lies outside the circle?
A) $\frac{3\sqrt{165} - 4\pi}{3\sqrt{165}}$
B) $\frac{4\pi - 3\sqrt{165}}{3\sqrt{165}}$
C) $\frac{4\pi}{3\sqrt{165}}$
D) $\frac{3\sqrt{165}}{4\pi}$

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