
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
Two concentric circles have a common center $C$. Chord $\overline{AD}$, which is tangent to the inner circle at $B$, has a length of $10$. If the radius of the outer circle $AC$ is $8$, what is the area between the two circles?
A) $15\pi$
   B) $25\pi$
   C) $39\pi$
   D) $64\pi$
   E) $49\pi$

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