
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
The area of the ring between two concentric circles is $50\pi$ square inches. The radius of the smaller circle is 5 inches. Find the length of a chord of the larger circle, which is also tangent to the smaller circle.
A) $10$
B) $20$
C) $10\sqrt{2}$
D) $20\sqrt{2}$

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