
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 diagram shows a triangle with edges of length 3, 4, and 6. A circle of radius 1 is drawn at each vertex of the triangle. What is the total shaded area?

A) \(2 \pi\)
B) \(\frac{9 \pi}{4}\)
C) \(\frac{5 \pi}{2}\)
D) \(\frac{11 \pi}{4}\)
E) \(3 \pi\)

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