
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 object moves from point A to point B, covering a distance of 10 cm in a straight line. It then turns by an angle α, chosen randomly from (0, π) radians, and moves 6 cm in a straight line to reach point C. Determine the probability that the distance between points A and C, AC, is less than 8 cm.

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