The lines of the paper will intersect the circle in 8 places, cutting the circle into 8 arcs as shown: AB, BC, CD, DE, EF, FG, GH, HA.
Consider the 4 arcs whose endpoints come from perpendicular lines: AB, CD, EF, GH.
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 shown.