A "Norman" window is a rectangular window with a semicircle mounted along the top edge. If the window is to have a total area of 30 square meters, what is the minimum perimeter of the window? Round to two places. Hint: Let r be the radius of the semicircle and y be the height of the rectanglar portion. You will likely want to immediately replace π with 3.142. If r is the radius of the semicricle and y is the height of the rectangular portion and P is the total perimeter, write a formula for P in terms of r only. (It should start P = ...) We want to minimize P in the equation The minimum perimeter is: P = meters.
A "Norman" window is a rectangular window with a semicircle mounted along the top edge. If the window is to have a total area of 30 square meters, what is the minimum perimeter of the window? Round to two places. Hint: Let r be the radius of the semicircle and y be the height of the rectanglar portion. You will likely want to immediately replace π with 3.142. If r is the radius of the semicricle and y is the height of the rectangular portion and P is the total perimeter, write a formula for P in terms of r only. (It should start P = ...) We want to minimize P in the equation The minimum perimeter is: P = meters.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Transcribed Image Text:A "Norman" window is a rectangular window with a
semicircle mounted along the top edge. If the window is to
have a total area of 30 square meters, what is the minimum
perimeter of the window? Round to two places.
Hint: Let r be the radius of the semicircle and y be the height
of the rectanglar portion. You will likely want to immediately
replace π with 3.142.
If r is the radius of the semicricle and y is the height of the
rectangular portion and P is the total perimeter, write a
formula for P in terms of r only. (It should start P = ...)
We want to minimize P in the equation
The minimum perimeter is:
P
=
meters.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning