
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, with B located on the circle. If AD = 6 units and CD = 8 units, find the area of the shaded region formed by the semicircle with center D and radius DB, excluding the area of rectangle ABCD.
A) $42\pi - 48$
B) $50\pi - 48$
C) $52\pi - 48$
D) $48\pi - 50$

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