moje_ime Posted June 13, 2006 Report Share Posted June 13, 2006 Hello!I am not matematician but I need a help.Here is the question:If the circle and hexagon have the same amplitude, which of these have greater area? Quote Link to comment Share on other sites More sharing options...
InfiniteNow Posted June 13, 2006 Report Share Posted June 13, 2006 My guess would be the circle, as the hexagon will lose space with the sharp lines and corners, but the circle will have each little tiny arch of the curve included in it's area. Confirmation anyone? Quote Link to comment Share on other sites More sharing options...
IDMclean Posted June 13, 2006 Report Share Posted June 13, 2006 Here let me circle the issue here. Quote Link to comment Share on other sites More sharing options...
moje_ime Posted June 13, 2006 Author Report Share Posted June 13, 2006 Confirmed? Or not? Quote Link to comment Share on other sites More sharing options...
Turtle Posted June 13, 2006 Report Share Posted June 13, 2006 Hello!I am not matematician but I need a help.Here is the question:If the circle and hexagon have the same amplitude, which of these have greater area? The use of the term 'amplitude' here is incorrect without further specification.For any given circumferential measure (loop of string), a circle bounds more area than any other plane figure.:confused: Quote Link to comment Share on other sites More sharing options...
sanctus Posted June 13, 2006 Report Share Posted June 13, 2006 what do actually mean by amplitude? Quote Link to comment Share on other sites More sharing options...
GAHD Posted June 13, 2006 Report Share Posted June 13, 2006 circles and spheres are the most efficient usages of surface are per volume in their respective dimensions. Are your thinking hexagon because of honey combs? hexagons simply aray better than spheres, and most honycombs start out as spheres but get forced into shape by the other combs built around them. Quote Link to comment Share on other sites More sharing options...
Turtle Posted June 13, 2006 Report Share Posted June 13, 2006 circles and spheres are the most efficient usages of surface are per volume in their respective dimensions. Are your thinking hexagon because of honey combs? hexagons simply aray better than spheres, and most honycombs start out as spheres but get forced into shape by the other combs built around them. Not spheres; cylinders. Right-circular-cylinders. Otherwise you have it right about the squishing into hexagonal form. Quote Link to comment Share on other sites More sharing options...
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