
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]


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Sector $OAB$ is one-third of a circle of radius 4 cm. A circle is drawn inside this sector, tangent at three points as shown. Determine the radius of the inscribed circle in centimeters, expressed in simplest radical form.

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