imc

A good diagram is very helpful. The first circle is in red, the second in blue. With this diagram, we can see that the first circle is inscribed in equilateral triangle $GBA$ while the second circle is inscribed in $GKJ$. From this, it's evident that the ratio of the blue area to the red area is equal to the ratio of the areas $△GKJ$ to $△GBA$ Since the ratio of areas is equal to the square of the ratio of lengths, we know our final answer is ${\left(\frac{GK}{GB}\right)}^2$. From the diagram, we can see that this is $9^2=\boxed{81}$