
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
From a given point, a tangent and a secant are drawn to a given circle. The length of the tangent is $18 \mathrm{~cm}$, and the part of the secant that lies inside the circle is $27 \mathrm{~cm}$. How long is the other part of the secant?

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