
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 diagram shows ten equal discs that lie between two concentric circles—an inner circle and an outer circle. Each disc touches two neighboring discs and both circles. The inner circle has a radius of 1. What is the radius of the outer circle?

A) \(2 \tan 36^\circ\)
B) \(\frac{\sin 36^\circ}{1-\sin 36^\circ}\)
C) \(\frac{1+\sin 18^\circ}{1-\sin 18^\circ}\)
D) \(\frac{2}{\cos 18^\circ}\)
E) \(\frac{9}{5}\)

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