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LogarithmLuke
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Homework Statement
http://www.inter-ped.no/skei/MAT1013%20Matematikk%201T%20%20bokmal.pdf Page 10 task 4 for a picture.
The window above consists of a rectangle and a semicircle. The windows perimeter is 8.0m.
What does the radius in the semicircle have to be for the area of the window to be as big as possible? Calculate this area.
Homework Equations
Perimeter circle:2*pi*R Are circle: Pi*rsquared
The Attempt at a Solution
So the total perimeter of the window has to be Pi*r+2h+2L=8. The problem here is that we need a function for the area expressed with just R. Since we don't know any lengths i don't know how to remove the other variables in the equation.
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