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Circle on a grid 2 (Posted on 2013-06-02) Difficulty: 4 of 5
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 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.

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