
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 concentric circles have the same center \( C \). Chord \( \overline{AD} \) is tangent to the inner circle at \( B \), \( AC \) is \( 13 \), and chord \( \overline{AD} \) has a length of \( 20 \). What is the area between the two circles?
A) \( 69\pi \)
B) \( 100\pi \)
C) \( 81\pi \)
D) \( 144\pi \)
E) \( 169\pi \)

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