
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
Consider two circles, where circle A has a diameter $AB$ and circle B has a diameter $CD$. Both diameters intersect at point $O$, the origin, at an angle of 120 degrees. Circle A has a radius of 5 and circle B has a radius of 3. Determine the area of the shaded region that falls inside both circles in the quadrant containing $A$ and $C$.

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