SOLUTION: he Norman window illustrated below has a semicircular section on top of a rectangle. The radius of the semicircle is x. The long side of the rectangle is three times the radius o

Algebra ->  Volume -> SOLUTION: he Norman window illustrated below has a semicircular section on top of a rectangle. The radius of the semicircle is x. The long side of the rectangle is three times the radius o      Log On


   

Question 992478: he Norman window illustrated below has a semicircular section on top of a rectangle. The radius of the semicircle is x. The long side of the rectangle is three times the radius of the semicircle.
Express the total area of the window, A, as a function of x.
Express the outer perimeter of the window, P, as a function of x.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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he Norman window illustrated below has a semicircular section on top of a rectangle.
The radius of the semicircle is x.
The long side of the rectangle is three times the radius of the semicircle.
:
Express the total area of the window, A, as a function of x.
A = 1%2F2pi%2Ax%5E2 + (3x*2x)
A = 1%2F2pi%2Ax%5E2 + 6x%5E2
Express the outer perimeter of the window, P, as a function of x.
P = pi%2Ax + (2(3x)+2x)
p = pi%2Ax + 8x