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Omni-MATH / Let ABCDEF be a regular hexagon. Let P be the circle inscribed in △BDF. Find the ratio of the area of circle P to the area of rectangle ABDE.

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problem

Let ABCDEFABCDEF be a regular hexagon. Let PP be the circle inscribed in △BDF\triangle BDF. Find the ratio of the area of circle PP to the area of rectangle ABDEABDE.
Plain-text mathematical notation (without MathML)
Let ABCDEF be a regular hexagon. Let P be the circle inscribed in △BDF. Find the ratio of the area of circle P to the area of rectangle ABDE.
Original LaTeX notation
Let $ABCDEF$ be a regular hexagon. Let $P$ be the circle inscribed in $\triangle BDF$. Find the ratio of the area of circle $P$ to the area of rectangle $ABDE$.

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