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Assume that the height of the segment is h, the chord length is c and the radius is r then:

r2=(r-h)2+(c/2)2

(We join two radii to the two ends of the chord then extend the height of the segment to the center of the circle in which the segment is inscribed so this height will bisect the chord and you use the pythagorean theorem to find the radius)

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16y ago

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