The figure shows a semicircle with radius 1, horizontal diameter PQ, and tangent lines at P and Q. At what height abover the diameter should the horizontal line be placed so as to minimize shaded area?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 31E: Suppose that the circle with center 0, 0 and radius length r contains the point a,b. Find the slope...
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 The figure shows a semicircle with radius 1, horizontal diameter PQ, and tangent lines at P and Q. At what height abover the diameter should the horizontal line be placed so as to minimize shaded area?

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