
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
Amanda now draws three circles with diameters 6 cm, 10 cm, and 15 cm. For each circle, she calculates two properties, D as its diameter and S as the square of its area (area squared). What set of points (D, S) could Amanda plot on a graph based on these calculations?
A) (6, $810\pi^2$), (10, $2500\pi^2$), (15, $30625\pi^2$)
B) (6, $81\pi^2$), (10, $625\pi^2$), (15, $3164.0625\pi^2$)
C) (6, $9\pi$), (10, $25\pi$), (15, $56.25\pi$)
D) (6, $81\pi$), (10, $625\pi$), (15, $3164\pi$)
E) (6, $18\pi$), (10, $50\pi$), (15, $112.5\pi$)

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