Sandy likes to eat waffles for breakfast. To make them, she centers a circle of waffle batter with a radius of $3\text{ cm}$ at the origin of the coordinate plane. Her waffle iron imprints non-overlapping unit-square holes centered at each lattice point. How many of these holes are contained entirely within the area of the waffle?

Let's think step by step and output the final answer within \boxed{}.
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