
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
Two concentric circles share a common center $C$. The radius of the smaller circle is $8$ units. The radius of the larger circle is twice the radius of the smaller circle. Determine the area of the annulus (ring) between these two circles.

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