Let us assume that there is a circle drawn on a paper and I want to determine its center. I could do that in multiple ways like:
- Drawing 2 chords and intersect their perpendicular bisectors.
- Form an inscribed right angled triangle and get the center of its hypotenuse.
- Draw 4 perpendicular tangents and intersect their diagonals.
- And a lot more.
However, since we are measuring and constructing using some basics tools as rulers and compasses, some methods are more accurate than others, in other words, methods that require fewer measuring steps are more accurate due to error accumulations. Other factors may apply.
So my question is: What is the most efficient method to get the circle's center using fewest tools and yield minimum measurement errors?