
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 ratio of the radii of two concentric circles is 1:4. If \( \overline{AC} \) is a diameter of the larger circle, \( \overline{BC} \) is a chord of the larger circle that is tangent to the smaller circle, and \( AB = 18 \), then what is the radius of the larger circle?
A) 24  
B) 27  
C) 32  
D) 36  
E) 40

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