
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
Let \( O_1 \) and \( O_2 \) be concentric circles with radii 4 and 6, respectively. A chord \( AB \) is drawn in \( O_1 \) with a length of 2. Extend \( AB \) to intersect \( O_2 \) at points \( C \) and \( D \). Find the length of \( CD \).

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