A regular hexagon is inscirbed in a circle of radius R . Another circle is inscribed in the hexagon . Now another hexagon is inscribed in the second ( smaller ) circle .

If thre are some more circle and hexagons inscribed in the similar way as given above, then the ratio of each side of outermost hexagon ( largest one ) to that of the fourth ( smaller cone ) hexagon is ( fourth hexagon means the hexagon which is inside the third hexagon from the outside ):

Options

A. a. `9:3 sqrt(2) `
B. b. `16:9`
C. c . `8:3 sqrt(3) `
D. d. none of these

Answer

C