explain how to find the center of a circle using only a pencil and a rectangular sheet of paper.

Question

please help.

Answer 1

Put the point of the right angle of the paper on the circle, so the paper is inside of the circle and the point is on the line. Let's call this point on the circle A (so we could address points if we need to) . Draw the lines along the sides of the paper. You will get 2 new points B and C. The BC line is your diameter. 

 

Do you understand why?

 

Move the paper point to the other place of the circle . Do the same thing again. You will get the points B1 and C1. 

 

The intersection of the lines BC and B1C1 is the center of the circle.

 

Please let me know if you need more help with that.

 

 

Answer 2

 

1.  Place the right-angle corner of any object at any point on the circle. Any point will do.

 

2.  Make marks where the two sides of the right-angle cross the circle.

 

3.  Draw a line between these two marks. Because of Thales Theorem, this is a diameter of the circle.

 

4.  Place the right-angle corner of the object at any other point on the circle. Any point will do, but for greatest accuracy, make it about a quarter the way round the circle from the first point.

 

5.  Make marks where the two sides of the right-angle cross the circle.

 

6.  Connect these two points with a straight line. This is the second diameter.

 

7.  Done. The point where the two diameters intersect is the center of the circle.