Thank you for visiting The perimeter of a regular nonagon is 162 inches The apothem is 97 8 inches Find the area. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
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.
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