Prove if a circle is divided into n congruent arcs (n \ ge 3), the chords determined by joining consecutive end points of these arcs they form a regular polygon?

Question

Prove if a circle is divided into n congruent arcs (n \ ge 3), the chords determined by joining consecutive end points of these arcs they form a regular polygon?

Answer 1

Since equal arcs have equal chords, the arcs partition the circle into n congruent triangles and therefore the figure formed is s regular n-gon.