
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 chord of a circle is 10 units long. A tangent to the circle is drawn through one end of the chord, and a secant parallel to the tangent is drawn through the other end. Find the radius of the circle if the internal segment of the secant is 12 units long.

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