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

7th Edition

ISBN:9781337614085

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

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

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 3E: a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?

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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?

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