
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
In the diagram, the smaller circle touches the larger circle and also passes through its center. What fraction of the area of the larger circle is outside the smaller circle? 

A) $\frac{2}{3}$  
B) $\frac{3}{4}$  
C) $\frac{4}{5}$  
D) $\frac{5}{6}$  
E) $\frac{6}{7}$

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