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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 the rectangle.) If the perimeter of the window is 30 ft , find the dimensions of the window so that the greatest possible amount of light is admitted. | Numerade
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The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the top. The diameter of the semicircle is equal to the width of the rectangle. The window has a perimeter of 12 feet. Express the area of the window, A, as a function of its radius, r. | Numerade
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