
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 shaded area shown in the diagram consists of the interior of a circle of radius 3 together with the area between the circle and two tangents to the circle. The angle between the tangents at the point where they meet is \( 60^{\circ} \).
What is the shaded area?
A) \( 6 \pi + 9 \sqrt{3} \)
B) \( 15 \sqrt{3} \)
C) \( 9 \pi \)
D) \( 9 \pi + 4 \sqrt{3} \)
E) \( 6 \pi + \frac{9 \sqrt{3}}{4} \)

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