A Norman window has the shape of a rectangle surmounted by
Chapter 8, Problem 8.3.16(choose chapter or problem)
A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the width of the rectangle (see the accompanying figure at the top of next column). If the perimeter of the window is 20 feet (including the semicircle), what dimensions will admit the most light (maximize the area)? (Hint: Express L in terms of r. Recall that the circumference of a circle 5 2pr, and the area of a circle 5 pr2 , where r is the radius of the circle.)
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