http://monsoonwok.com/rectangle-picture/
Rectangle Picture
A Norman window has the shape of a rectangle surmounted by a semicircle?
(Thus, the diameter of the semicircle is equal to the width of rectangle. See the photo below). If the perimeter of the window is 44 m, find the dimensions of the window so that the maximum amount of light is admitted. A) Determine the width of the window. Please enter your response as an expression with pi, if necessary, and without the units (b) Find the height of the window. Please write their response as an expression with pi, if necessary, and no units
The maximum area of the window of Norman fit into a square. Thus, the height and width window will be the same number. The only difficult thing is to find out what that number is. So let's see … Circumference = πr + 4r = (π + 4) r = 44 Therefore, r = 44 / (π + 4) and its height and width should be double, ie 88 / (π + 4) And, just for the fun of it, we can also calculate the maximum area is (π / 2 + 2) r ²
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