
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
In the diagram, PQ is a diameter of a larger circle, point R is on PQ, and smaller semi-circles with diameters PR and QR are drawn, where PR = 6 and QR = 4, determine the ratio of the area of the shaded region to the area of the unshaded region.

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