
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 Lisa's symmetrical design project, the smallest circle has a radius of 2 inches, followed by a circle with a radius of 4 inches, and then a circle with a radius of 6 inches. For the subsequent circles, each radius becomes the square of the radius of the previous circle divided by 2, rounded down to the nearest whole inch if necessary. The pattern alternates starting with a black circle, followed by a white circle, and so on. What is the percent of the design that is black if there are a total of 4 circles?
A) 12.35%
B) 15.48%
C) 17.85%
D) 20.00%
E) 22.22%

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