Investigate cases where the top and bottom surface are cut from
(i)Equilateral triangle
(ii)Regular hexagon
Find the ratio of h/r for each case.
2006-10-28 17:49:50 · 3 answers · asked by Ren Y 1 in Science & Mathematics ➔ Mathematics
(i)Equilateral triangle
r = radius of incircle, h = lengrth of side
Join vertices to incentre.
Then tan 30° = r/(h/2).
ie 1/ √3 = 2r/h
Thus r = √3 * h/6
(ii) Regular hexagon
r = radius of incircle, h = lengrth of side
Join vertices to incentre
Then tan 60° = r/(h/2)
ie √3 = 2r/h
Thus r = √3 * h/2
2006-10-28 18:07:51 · answer #1 · answered by Wal C 6 · 1⤊ 0⤋
(i)Equilateral triangle and a rectangle form a can or cyclinder. To find the are u find rdius of the top or bottom circle then find the lenght of the rectange(middle for top to bottom) and do pi*r^2
2006-10-29 01:01:49 · answer #2 · answered by Best Helper 4 · 0⤊ 0⤋
stay away from drugs dude
2006-10-29 01:00:03 · answer #3 · answered by Anonymous · 0⤊ 2⤋