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Extremum, Increase and Decrease Sections – Min and max problem (Maximum area) – Exercise 2188

Exercise

We want to build a rectangular window with an r radius semicircle above it. The window perimeter is 12 meters. At what radius should the window be built, in order to get the maximum amount of light?

בעיות מינימום מקסימום - שטח מקסימלי

Final Answer


r=\frac{12}{4+\pi}

Solution

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