
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
Rectangle ABCD has D as the center of a circle and B as a point on the circle. The side AD measures 5 units and CD measures 12 units. Find the area of the shaded region which is part of the quarter circle that lies outside the rectangle.
A) 70 and 74
B) 74 and 78
C) 78 and 82
D) 82 and 86

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