Finding the centre point of an arc with chords

as both bisectors of the chords are diameters they will meet at the centre of the circle Feel free to catch the end points of the chords and see how the unique properties of the circle mean the perpendiculer bisector of the chords will always pass through the centre of the circle
Feel free to play around with the chords by clicking on the end points. You will see how the unique properties of the circle always result in the bisector of the chords always passing through the centre point of the arc