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Japanese Theorem for Cyclic Polygons

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show radii
number of vertices:
5
randomize triangulation
sum of the radii: 1.04508
The Japanese theorem for cyclic polygons states that no matter how a cyclic convex polygon is triangulated, the sum of the inradii of the triangles remains constant. This Demonstration shows random triangulations of regular polygons inscribed in a unit circle and the sum of the inradii of the triangles.
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