
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
A circle with radius 1 touches the sides of a rhombus. Each of the smaller angles between the sides of the rhombus is \(60^{\circ}\). What is the area of the rhombus?

A) 6

B) 4

C) \(2 \sqrt{3}\)

D) \(3 \sqrt{3}\)

E) \(\frac{8 \sqrt{3}}{3}\)

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