
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
An isosceles triangle with sides of lengths 14 cm, 14 cm, and 20 cm is inscribed in a circle such that the 20 cm side is the diameter of the circle. There are two small shaded regions within the circle but outside the triangle. Calculate the sum of the areas of these two shaded regions in square centimeters, and express your answer in the form \( a\pi - b\sqrt{c} \). What is \( a+b+c \)?

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