Asked by Maricela
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 50.700 ft. give the area A of the window in square feet when the width is 8.800 ft. Give the answer to two decimal places.
Answers
Answered by
Steve
If the rectangular part has width x and height y, then we have a perimeter
x+2y+πx/2 = 50.700
8.8+2y+8.8π/2 = 50.7
y = 14.039
So, the area is
A = xy + π/2 (x/2)^2
= 8.8*14.039 + π/2 * 4.4^2
= 153.954
x+2y+πx/2 = 50.700
8.8+2y+8.8π/2 = 50.7
y = 14.039
So, the area is
A = xy + π/2 (x/2)^2
= 8.8*14.039 + π/2 * 4.4^2
= 153.954
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