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Omni-MATH / What fraction of the area of a regular hexagon of side length 1 is within…

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problem

What fraction of the area of a regular hexagon of side length 1 is within distance 12\frac{1}{2} of at least one of the vertices?
Plain-text mathematical notation (without MathML)
What fraction of the area of a regular hexagon of side length 1 is within distance (1)/(2) of at least one of the vertices?
Original LaTeX notation
What fraction of the area of a regular hexagon of side length 1 is within distance $\frac{1}{2}$ of at least one of the vertices?

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