thetop and bottom faces tin are cut consisting regular polygons. fing the relationship of the ratio of h/r, the number of sides of polygon
2006-10-22 21:55:22 · 2 answers · asked by yiyi 1 in Science & Mathematics ➔ Mathematics
pls help me step by step...
pls show me the methods that i can use
2006-10-23 01:16:18 · update #1
Sure, you want to tesselate the plane with regular hexagons. In cutting the hexagons there is no wastage, since they fit perfectly. If the circle is to have radius r then the altitude of the hexagon is of length r, and the area of the hexagon is 2sqrt(3)r^2, area of the circle is pi*r^2. sqrt(3) is about 7/4, so ratio is about 7/2r^2/(pi*r^2) = 3.5/pi. (actual ratio is 2sqrt(3)/pi)
2006-10-23 00:41:53 · answer #1 · answered by sofarsogood 5 · 0⤊ 0⤋
Circles are best their is no wastage*, if you want to fill the sheet regular Hexagonals or Squares are you best bet
*aluminium is easy to cycle, take a good look at a drink can
2006-10-23 07:34:49 · answer #2 · answered by mathman241 6 · 0⤊ 0⤋