Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
[tex]A = \frac{p\cdot a}{2}[/tex] (1)
Where:
[tex]A[/tex] - Area of the regular polygon, in square inches.
[tex]p[/tex] - Perimeter, in inches.
[tex]a[/tex] - Apothem, in inches.
If we know that [tex]p = 162\,in[/tex] and [tex]a = 97.8\,in[/tex], then the area of the regular nonagon is:
[tex]A = 7921.8\,in^{2}[/tex]
The area of the regular nonagon is 7921.8 square inches.
