Draw a unit circle on a sheet of graph paper with lines spaced 1 unit such that one square is completely inside the circle.
The lines of the paper will intersect the circle in 8 places, cutting the circle into 8 arcs.
Consider the 4 arcs where some of the grid lines cut the circle as shown in the diagram: AB, BC, CD, DA.
Describe, as precisely as possible, how to place the circle so the relative lengths of these arcs are in the extended ratio 1:2:4:3 in order around the circle. Use the coordinate system as in the diagram.
(In reply to
Not obvious to me by Steve Herman)
Steve,
This problem is a modification of a problem that is yet to follow. I misunderstood what that problem was about. My proposal to Jer at that time was a challenge to his difficulty level.
You would be surprised just how close you are to locating the exact location of that centre. You really only need some basic midhigh school geometry and trigonometry.

Posted by brianjn
on 20130524 23:21:02 