Answer :
The area of the Heptagon is 32.6
What is Heptagon?
A polygon having 7 sides and 7 angles are called a heptagon. The term "septagon" may also be used to refer to the heptagon. A heptagon is formed when all of its sides come together end to end. Therefore,
The heptagon's sides total seven.
What Is Meant by Apothem?
Apothem is a line traced from any polygon's center to one of its sides' midpoints.
The apothem formula, when the side length is given is:
[tex]a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}[/tex]
Where,
a = apothem length
s = side length
n = number of sides of a polygon.
In the given question,
we have;
s = 7 inches;
a = 3 inches;
n = 7;
So,
The apothem, when the side length is given is:
[tex]a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}[/tex]
[tex]a=\frac{3}{2 \tan \left(\frac{180}{7}\right)}[/tex]
so, The area of Heptagon is 7.[tex]\frac{3.7}{2}[/tex]
The area of the Heptagon is 32.6
To learn more about heptagon, visit:
https://brainly.com/question/5361966
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