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)
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 mid-high school geometry and trigonometry.
Posted by brianjn
on 2013-05-24 23:21:02