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In Euclidean geometry, a regular hexagon of side s is inscribed in a circle of...

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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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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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