A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 20ft., what should the radius of the semicircle and the height of the rectangle be so that the window will admit the most light?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 42E: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft...
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A Norman window consists of a rectangle surmounted by a semicircle. If the
perimeter of a Norman window is to be 20ft., what should the radius of the
semicircle and the height of the rectangle be so that the window will admit the
most light?
Transcribed Image Text:A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 20ft., what should the radius of the semicircle and the height of the rectangle be so that the window will admit the most light?
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