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The radius of the sphere S

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August 29, 2010
geometry3D geometryspheretetrahedronfunctionIMO Shortlist

Problem Statement

Determine the radius of a sphere SS that passes through the centroids of each face of a given tetrahedron TT inscribed in a unit sphere with center OO. Also, determine the distance from OO to the center of SS as a function of the edges of T.T.
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