For any positive number a, let R, and S, denote the regions colored light blue and dark blue, respectively, in Figure 5.55, and let r̟ be the ratio of the area of R, to the area of S. Show that r̟ is independent of a.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 10E: Suppose a circle of radius r is inscribed in a rhombus, each of whose sides has length s. Find an...
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I want an answer of question number 41.

For any positive number a, let R, and S, denote the
regions colored light blue and dark blue, respectively, in
Figure 5.55, and let r̟ be the ratio of the area of R, to the
area of S. Show that r̟ is independent of a.
Transcribed Image Text:For any positive number a, let R, and S, denote the regions colored light blue and dark blue, respectively, in Figure 5.55, and let r̟ be the ratio of the area of R, to the area of S. Show that r̟ is independent of a.
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