
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 point \( P \) is outside a circle and is \( 15 \) inches from the center. A secant from \( P \) cuts the circle at \( Q \) and \( R \) so that the external segment of the secant \( PQ \) is \( 11 \) inches and \( QR \) is \( 8 \) inches. The radius of the circle is:
A) 3 inches
B) 4 inches
C) 5 inches
D) 6 inches

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