SOLUTION: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangle window . The perimeter of the window is 8 meters.
1.1 write the area A of the windo
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-> SOLUTION: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangle window . The perimeter of the window is 8 meters.
1.1 write the area A of the windo
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Question 1158925: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangle window . The perimeter of the window is 8 meters.
1.1 write the area A of the window as a function of r
1.2 what dimensions (length and breadth of rectangle of semicircle) will the produce a window of maximum area? Write these dimensions in terms of Pi(3.14) and simplify as far as possible.
Diagram (without the semicircle on top)
______________________
|……………… .<— r —> …| ^
|………………………………| |
|………………………………| x
|………………………………| |
|………………………………| |
______________________
<————x-2r ————>
N.B I have tried to show to the diagram just the semicircle on top Answer by ikleyn(52785) (Show Source):
