In general you would need to select a vertex of the nonagon and join it to the other vertices (except the two adjacent ones). This will divide the nonangon into 7 triangles. Measure the sides and/or angles of these triangles and calculate their areas. Add these together to get the area of the nonagon.
If the nonagon is regular then there are formulae to calculate its area. These depend on whether you know the side length, apothem or circumradius.
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You add together the lengths of the nine sides of the nonagon.
The area is 1583 square units, approx.
Approx 566.9 square inches.
A regular nonagon with a side length of 9 has an apothem of 12.4 not 16. So the question is inconsistent.
nonagon