
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 two circles have the same center $C$. Chord $\overline{AD}$ is tangent to the inner circle at $B$, where $AC$ is $12$, and chord $\overline{AD}$ has length $20$. What is the area between the two circles?
A) $64 \pi$
B) $100 \pi$
C) $144 \pi$
D) $44 \pi$
E) $200 \pi$

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