
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
Through point \( A \), which is located outside a circle at a distance of 7 from its center, a line is drawn intersecting the circle at points \( B \) and \( C \). Find the radius of the circle, given that \( AB = 3 \) and \( BC = 5 \).

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