
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 triangle in question is an equilateral triangle with side length 18 cm. One side of the triangle is the diameter of the circle. Calculate the sum of the areas of the two small shaded regions in square centimeters, expressed in the form $a\pi - b\sqrt{c}$. Find $a+b+c$.

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