Answer:
Area is 321.6 square inches.
Step-by-step explanation:
A regular polygon with 16 sides is a Regular Hexadecagon. Regular means all sides are equal dimension. See image attached.
Side length is 4 inches.
side length=s=4 inches
Apothem=s*2.51367
Apothem=10.054
2. You can use the formula to calculate de area of an hexadecagon:
[tex]A=\frac{Perimeter*Apothem}{2}[/tex]
Perimeter=16 sides*4inches
Perimeter= 64 inches
[tex]A=\frac{64*10.054}{2}[/tex]
[tex]A=321.6 inches^{2}[/tex]
