- #1

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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