PaijeU485372 PaijeU485372
  • 03-11-2022
  • Mathematics
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I need help with this work question 10Find the area of each regularpolygon. Leave your answer insimplest form.

I need help with this work question 10Find the area of each regularpolygon Leave your answer insimplest form class=

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IvoreeD785168 IvoreeD785168
  • 03-11-2022

Given:

Number of sides in octagon = 8

Length of apothem = 14.1

Side length = 11.7

Required: Area

Explanation:

The area of a regular polygon is one-half the product of its apothem and its perimeter.

Here, the area of the regular octagon is

[tex]\begin{gathered} A=\frac{1}{2}ap \\ =\frac{1}{2}\times14.1\times8\times11.7 \\ =659.88 \end{gathered}[/tex]

Final Answer: Area of the regular octagon is 659.88 square units.

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