A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman window is 32 ft, determine what should be the radius of the semicircle and the height rectangle such that the semicircle of the window transmits only half as much light of area as the rectangle.

A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman window is 32 ft, determine what should be the radius of the semicircle and the height rectangle such that the semicircle of the window transmits only half as much light of area as the rectangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 36E: For a right circular cone, the slant height has a measure equal to twice that of the radius length...

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A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the
Norman window is 32 ft, determine what should be the radius of the semicircle and the
height rectangle such that the semicircle of the window transmits only half as much light of
area as the rectangle.
Hint: add the areas of the needed light for the rectangle and for the semicircle

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