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Circle on a grid 1 (Posted on 2013-05-24) Difficulty: 3 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. 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.

No Solution Yet Submitted by Jer    
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  Subject Author Date
Solutionre(2): Not obvious to mebrianjn2013-05-28 23:13:25
re: Not obvious to mebrianjn2013-05-24 23:21:02
Not obvious to meSteve Herman2013-05-24 22:56:45
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