Question

A regular hexagon A has the midpoints of its edges joined to form a smaller hexagon B. And this process is repeated by joining the midpoints of the edges of B to get a third hexagon C.what is the ratio of the area of c to the area of b?

Answer 1

Area first hexagon A = \(\large k S_a^2\)

Answer 2

Area of second hexagon B = \(\large m S_a^2\)

Answer 3

Area of third hexagon C= \(\large n S_a^2\)

Answer 4

express all areas in terms of \(S_a\)