A yellow circle circumscribes a green regular hexagon and is inscribed in a red regular hexagon.
What is the ratio of the areas of the green hexagon to the red hexagon?
Circle radius r = 2
Angle q = 30°
Red hxgn 1/2side S1 = ? S1 = tan(30) * r S1 = 1.1547
Green hxgn 1/2side S2 =? S2 = sin(30) * r S2 = 1.000
Red hxgn area A1 =? A1 = ( S1*r) *6 A1 = 13.8564 u2
Green hxgn area A2 =? A2 =[S2*sqrt(3)]*6 A2 = 10.3923 u2
Ratio A2 : A1 = 3 : 4
