
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
A circular disc with diameter \(D\) is placed on a \(6\times 6\) checkerboard, such that the centers coincide and each square on the board is \(D\) in width. Determine the number of squares on the checkerboard completely covered by the disc.
A) 12
B) 14
C) 16
D) 18
E) 20

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