Using the circle theorems or otherwise, I explained why the process locates the centre of the arc. However, I do not know what 'accuracy limitations of this technique' means. I don't think there is any error while explaining the process. Please Help! I used congruence of triangles by drawing perpendicular bisectors to the chord AB and BC.
Process: 1. Draw the line segment AB 2.Locate the label the point M, the midpoint of AB. 3. Draw the line perpendicular to AB through M. 4. Repeat the steps 1 to 3 for points B and C 5. Produce both perpendiculars so that they intersect at O. 6. Verify that the point of intersection, O is the centre of the circle/arc by using OA as the radius and completing the full circumference of the circle.)
Questions: Using the circle theorems of otherwise, explain why this procss locates the centre of the arc.
Discuss the accuracy limitations of this technique.