
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 region is bounded by the larger circle of radius $5$ and center $(0,0)$, the smaller circle of radius $2$ with the center $(0,2)$, both of which are located in the first quadrant, and the line segment from $(0,0)$ to $(5,0)$. What is the area of the shaded region?
A) \(\dfrac{15\pi}{4}\)
B) \(\dfrac{16\pi}{4}\)
C) \(\dfrac{17\pi}{4}\)
D) \(\dfrac{18\pi}{4}\)
E) \(\dfrac{19\pi}{4}\)

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