
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
An archery target is composed of 10 concentric circles. The difference in radius between two adjacent concentric circles is equal to the radius of the smallest inner circle. The innermost circle is called the 10 ring, and the outermost ring is called the 1 ring. What fraction of the area of the 1 ring is the area of the 10 ring?

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