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Answer by Joshua Wang for Covering a circle using rectangles
By using a hexagonal pattern but offsetting the corners, we can slightly increase the area. If the short sides of the rectangles are all $x<1$, we have:$$A =...
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What is the maximum area that can be covered with $3$ rectangles insidea radius $1$ circle?(i.e. maximum area $=\pi$) The rectangles can be any length and height you want, and can rotate and reflect.(I...
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