Yahoo Answers: Answers and Comments for Norman Window? [Mathematics]
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From Chibi
enGB
Sun, 08 Dec 2019 07:17:33 +0000
3
Yahoo Answers: Answers and Comments for Norman Window? [Mathematics]
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https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
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From Bryce: A= xy + π*r²/2
12= x + 2y + π*r
r= (1/2)x
12= ...
https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
Sun, 08 Dec 2019 08:35:49 +0000
A= xy + π*r²/2
12= x + 2y + π*r
r= (1/2)x
12= x + 2y + (1/2)π*x
y= 6  x/2 (1/4)π*x
A= x(6 x/2 π*x/4) + π/2(x/2)²
= 6x x²/2 π*x²/8
A'= 6 x π*x/4= 0
x(1 + π/4)= 6; x≈ 3.36 ft
y≈ 1.68 ft, r ≈ 1.68
maximum area= 3.36*1.68 + π*1.68²/2≈ 10.1 ft²

From Captain Matticus, LandPiratesInc: P = 12
P = (pi/2) * d + d + 2x
12 = (pi/2) * d...
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https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
Sun, 08 Dec 2019 08:15:31 +0000
P = 12
P = (pi/2) * d + d + 2x
12 = (pi/2) * d + d + 2x
24 = pi * d + d + 4x
24 = (pi + 1) * d + 4x
24  (pi + 1) * d = 4x
(1/4) * (24  (pi + 1) * d) = x
A = pi * (d/2)^2 * (1/2) + d * x
A = (pi/8) * d^2 + d * (1/4) * (24  (pi + 1) * d)
A = (pi/8) * d^2 + 6d  (pi + 1) * d^2
A = (1/8) * (pi * d^2 + 48d  8 * (pi + 1) * d^2)
A = (1/8) * (d^2 * (pi  8pi  8) + 48 * d)
A = (1/8) * (48 * d  (7pi + 8) * d^2)
dA/dd = (1/8) * (48  2 * (7pi + 8) * d)
dA/dd = 0
0 = (1/8) * 2 * (24  (7pi + 8) * d)
0 = 24  (7pi + 8) * d
(7pi + 8) * d = 24
d = 24 / (7 * pi + 8)
x = (1/4) * (24  (pi + 1) * d)
x = (1/4) * (24  (pi + 1) * 24 / (7pi + 8))
x = (24/4) * (1  (pi + 1) / (7pi + 8))
x = 6 * (7pi + 8  pi  1) / (7pi + 8)
x = 6 * (6pi + 7) / (7pi + 8)
A = (1/8) * (48 * d  (7pi + 8) * d^2)
A = (1/8) * (48 * 24 / (7pi + 8)  (7pi + 8) * 24^2 / (7pi + 8)^2)
A = (1/8) * (48 * 24 / (7pi + 8)  24 * 24 / (7pi + 8))
A = (1/8) * 24 * 24 * (2  1) / (7pi + 8)
A = 72 / (7pi + 8)

From Tasm: Use surface area of sphere and divide by 2
A=(...
https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
Sun, 08 Dec 2019 07:26:00 +0000
Use surface area of sphere and divide by 2
A=( 4π6^2 )/2

From Norman: My window is much smaller than that.
https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
https://uk.answers.yahoo.com/question/index?qid=20191208071733AAjv4tf
Sun, 08 Dec 2019 07:23:43 +0000
My window is much smaller than that.