Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of...Asked by Hailey
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 49 feet?
Answers
Answered by
Steve
set da/dw = 0 when
w + 2h + πw/2 = 49
a = wh + π/8 w^2
= w(49 - (1+π/2)w)/2 + π/8 w^2
w + 2h + πw/2 = 49
a = wh + π/8 w^2
= w(49 - (1+π/2)w)/2 + π/8 w^2
There are no AI answers yet. The ability to request AI answers is coming soon!