
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
Let $ABC$ be a right triangle with $\angle BAC = 90^\circ$. A circle is tangent to sides $AB$ and $AC$ at $X$ and $Y$ respectively, where $XY$ lie horizontally and $BC$ is the hypotenuse. Let $AB = 8$ and $AC = 6$. Find the area of the portion of the circle that lies outside of $\triangle ABC$.

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