A rectangle is to be inscribed inside a circle of radius 1. Find the dimensions of the rectangle that maximize its area, and also find the maximum area.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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A rectangle is to be inscribed inside a circle of radius 1. Find the dimensions of the rectangle that maximize its area, and also find the maximum area.

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