Let A B C D E F be an equiangular hexagon such that A B=6, B C=8, C D= 10 , and D E=12. Denote by d the diameter of the largest circle that fits inside the hexagon. Find d^{2}.
Let A B C D E F be an equiangular hexagon such that A B=6, B C=8, C D= 10 , and D E=12. Denote by d the diameter of the largest circle that fits inside the hexagon. Find d^{2}.