
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
A standard 6-sided die is rolled to determine the radius (r) of a circle. Express the probability that the numerical value of the area of the circle is greater than half of the numerical value of the circle's circumference.

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