
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
Point \( P \) is located outside circle \( C \) in a plane. The radius of circle \( C \) is 5 cm, and the distance from \( P \) to the center of circle \( C \) is 9 cm. At most, how many points on \( C \) can be 4 cm away from \( P \)?
**A)** 0
**B)** 1
**C)** 2
**D)** 3
**E)** 4

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