
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 shaded region in the diagram, bounded by two concentric circles, is called an annulus. The circles have radii \(2 \text{ cm}\) and \(14 \text{ cm}\).
The dashed circle divides the area of this annulus into two equal areas. What is its radius?
A \(9 \text{ cm}\) B \(10 \text{ cm}\) C \(11 \text{ cm}\) D \(12 \text{ cm}\) E \(13 \text{ cm}\)

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