The letters of the word OMEGA are to be arranged in a row.

1. In how many ways can we arrange the letters of the word such that the letter O and A are NOT together?
2. In how many ways can we arrange the letters of the word OMEGA such that no two vowels are adjacent?

Three congruent circles of radius 14 cm each are drawn, as shown. Determine

1. the sum of perimeter of the two colored regions of the figure in terms of $\pi$.
2. the positive difference of area of the two colored regions of the figure in terms of $\pi$.