Euclidean geometry give relations with circle arc, radius and its central subtended angle. In absence of the values of radius and centrally subtend angle, it remain impossible to find values of arc and its developed chord or vice versa.
Radius×alpha= arc
2×(Radius x sen (alpha/2))= chord
2 unknown variables and 2 equations. I think you have to solve it iteratively
According to Euclid's Geometry; Circle radius × central angle alpha= arc
2×(Radius x sen (alpha/2)= chord
While comparing two equations one get;
alpha/Sin(alpha/2)= arc/chord (a constant numeral)
Solution to this trigonometric equation enable a graphical representation of alpha ÷ Sin(alpha) the exact value of alpha not appearing by solution though arc and chord value is available. Only graphical representation of ratio alpha/Sin(alpha) can get. Exact value of alpha cannot be find without an Euclid geometry formulation. An online trigonometry equation solution attempted, taking alpha as "x" and arc,chord ratio (arbitrary) taken.
Some researchers suggested trigonometric solutions that's attached/discussed above. But, it's not applicable to this mathematical problem.
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