
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 at O. Chord $\overline{EF}$ is tangent to the inner circle at point G. $EO= 12$ (radius of the outer circle) and the chord $\overline{EF}$ has length 20. Find the area between these two circles.
A) $84 \pi$  
B) $100 \pi$  
C) $144 \pi$  
D) $44 \pi$

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