
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 a large square field, three small circular ponds are dug with a radius of 3 meters each. The ponds are spaced such that they do not overlap at all and fit perfectly within the square's perimeter. If each side of the square is 10 meters, calculate the shaded area, which represents the area of the field not covered by the ponds.
A) $100 - 28\pi \text{ square meters}$
B) $100 - 26\pi \text{ square meters}$
C) $100 - 27\pi \text{ square meters}$
D) $100 - 29\pi \text{ square meters}$

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