
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 $15$ cm from the center. A secant from $P$ cuts the circle at points $Q$ and $R$ such that the external segment of the secant $PQ$ is $7$ cm and segment $QR$ is $5$ cm. A tangent from $P$ touches the circle at $S$. Find the radius of the circle.
A) $\sqrt{141}$ cm
B) $\sqrt{150}$ cm
C) $\sqrt{130}$ cm
D) $\sqrt{125}$ cm

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