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2. In Euclidean geometry, a regular hexagon of side s is inscribed in a circle of radius s. On the sphere, there exists a regular pentagon of side s inscribed in a circle of radius s, but for only one value of s. What is s?

2. In Euclidean geometry, a regular hexagon of side s is inscribed in a circle of radius s. On the sphere, there exists a regular pentagon of side s inscribed in a circle of radius s, but for only one value of s. What is s?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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2. In Euclidean geometry, a regular hexagon of side s is inscribed in a circle of radius s. On the sphere, there exists a regular pentagon of side s inscribed in a circle of radius s, but for only one value of s. What is s?
Transcribed Image Text:2. In Euclidean geometry, a regular hexagon of side s is inscribed in a circle of radius s. On the sphere, there exists a regular pentagon of side s inscribed in a circle of radius s, but for only one value of s. What is s?
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