If I have a small section of a circle, inside a square. I know the height and the width of the square and therefore the width and height of the arc, what would be the quickest (not necessarily the most accurate) way of approximating the circles centre?
In my head it seems sensible to take plot points along the circle of a defined unit. work out the vector between the 2 plot points, then another for the next 2, work out the angle using the dot product. And then "complete the circle" using this information, this would give us an approx circumference which we can use to calculate center point...
trouble is a.) im not sure if this is right b.) I don't actually know half the maths to do it.
Any help or better solutions is much appreciated!
Very easy.
You take one unit of length that can fit two times in the area inside the box.
You make two segments (easy with compass).
You then build the line that goes through the middle of each segment (straightforward with a compass as well).
The two lines will intersect at the center of the circle.