Congruent chords that subtend incongruent arcs

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I was fairly weak in synthetic plane geometry, so I've been working with (Givental)Kiselev's book. On the first problem set, I've been stuck for on finding an example of congruent chords that subtend incongruent arcs.

Is this even possible on congruent circles, or am I to show that a congruent chord subtends different arcs on incongruent circles based on circle radial size and curvature?