
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
Margie revises her art design such that the smallest circle now has a radius of 3 inches, and each successive circle's radius increases by 3 inches. The circles alternate in color with the first circle being white, and the second being black, continuing in this pattern. Calculate the percentage of the design that is black if there are a total of five circles.
[asy] real d=320; pair O=origin; pair P=O+8*dir(d); pair A0 = origin; pair A1 = O+1*dir(d); pair A2 = O+2*dir(d); pair A3 = O+3*dir(d); pair A4 = O+4*dir(d); filldraw(Circle(A0, 15), white, black); filldraw(circle(A1, 12), black, black); filldraw(circle(A2, 9), white, black); filldraw(circle(A3, 6), black, black); filldraw(circle(A4, 3), white, black); [/asy]
A) 35%
B) 40%
C) 45%
D) 50%
E) 55%

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