A rectangle is inscribed in a semicircle of radius 1. See
Chapter 7, Problem 100(choose chapter or problem)
A rectangle is inscribed in a semicircle of radius 1. See the illustration. y x 1 (a) Express the area A of the rectangle as a function of the angle u shown in the illustration. (b) Show that A1u2 = sin12u2. (c) Find the angle u that results in the largest area A. (d) Find the dimensions of this largest rectangle.
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