Grades 11-12 Video Solutions 2013-Levels 11&12 Video Solutions 2013 problem13

Levels 11&12 Video Solutions 2013 problem13

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The problem involves determining how a circular rug can cover square tiles and identifying an impossible arrangement. By analyzing different placements, one can see that the tiles must share at least two points with the rug to be marked gray. In options A and B, circles can be drawn to include more than one intersection point with respective tiles. However, in option E, some tiles are marked with only one common point with the circle, making this an impossible outcome. Thus, the solution concludes with option E as the impossible scenario.