A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle can have, and what are its dimensions? (Hint: Let (x, sqrt 4−x2) be the coordinate of the corner of the rectangle inscribed in the upper semicircle of circle with radius 2 and centered at the origin (0,0).)

A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle can have, and what are its dimensions? (Hint: Let (x, sqrt 4−x2) be the coordinate of the corner of the rectangle inscribed in the upper semicircle of circle with radius 2 and centered at the origin (0,0).)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 25E

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