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A regular hexagon A has the midpoints of its edges joined to form a smaller hexagon B. This process is repeated by joining the midpoints of the edges of the hexagon B to get a third hexagon C. What is the ratio of the area of hexagon C to the area of hexagon A?

Mathematics
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Each smaller hexagon formed will have side length equal to 0.866(half times square root of 3)times the length of its previous hexagon
how did you get that?
|dw:1350381371686:dw|

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Other answers:

sorry for bad drawing, but could u get the side of smaller hex from that ?
it's fine.. i'll analyze it for a while
|dw:1350381577682:dw|
what was that d/2 ??
yes, d/2 or u asked , why was that d/2 ?
i meas WHAT is that d/2? where did you get it? sorry but i find solid mensuration and geometry hard ..
d is the side of smaller hexagon , so the length i have marked here will be d/2 |dw:1350381918942:dw|
ahh.. got it.. i was confused from that equation :D
so u will have ratio of sides, know how to find ratio of areas ?
no, i don't
(ratio of sides)^2 = ratio of areas ALWAYS.
owh.. so like the equation on how i got the corresponding sides of the 2 triangles? ok.. got it.. i'll just now solve for the sides of the hexagon C
yes, find the ratio of sides of hex A and hex C.
9/16 ?? ahm.. is it??
yes!
9/16 is ratio of areas
i thought i was wrong :D that problem is complicated for me. thanks for the help man! :))
welcome ^_^

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