1. The problem statement, all variables and given/known data http://www.inter-ped.no/skei/MAT1013%20Matematikk%201T%20%20bokmal.pdf [Broken] 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. 2. Relevant equations Perimeter circle:2*pi*R Are circle: Pi*rsquared 3. 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.