
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
Circle $D$ has a radius of 10 cm. How many square centimeters are in the area of an equilateral triangle, one vertex of which touches the circle at one point, and two equal sides which pass through the center of the circle $D$?

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