A semicircle of radius r is inscribed in a rectangle so

Chapter , Problem 3.6.15

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A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure. (a) Express the area A of the rectangle as a function of the radius r of the semicircle. (b) Express the perimeter p of the rectangle as a function of r.

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