a=apothem;
a = s/2
or
a=s/[2tan(180/4)]
Use either of the two if the measurement of the side is given.
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If the hexagon has side length s, then the apothem is sqrt(3) * s / 2.
A regular nonagon with a side length of 9 has an apothem of 12.4 not 16. So the question is inconsistent.
The area of a regular octagon: A = (2 x apothem)2- (length of side)2 or in this case A= (2 x 8.45)2 - 72