
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
On the diameter \(2R\) of a semicircle, an equilateral triangle is constructed, whose side is equal to the diameter. The triangle is situated on the same side of the diameter as the semicircle. Calculate the area of the part of the triangle that lies outside the circle.

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