5. (Calc-Okay but show work and leave answers exact) A geometry student wants to draw a rectangle inscribed in a semicircle of radius 8. If one side must be on the semicircle's diameter, what is the area of the largest rectangle that the student can draw?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 1A: Plans call for triangle BCDto be sheared off a corner of a rectangle as shown in the figure. A...
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5. (Calc-Okay but show work and leave answers exact) A geometry student wants to draw a rectangle inscribed in a semicircle of
radius 8. If one side must be on the semicircle's diameter, what is the area of the largest rectangle that the student can draw?
Transcribed Image Text:5. (Calc-Okay but show work and leave answers exact) A geometry student wants to draw a rectangle inscribed in a semicircle of radius 8. If one side must be on the semicircle's diameter, what is the area of the largest rectangle that the student can draw?
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