ManuellaQ121213 ManuellaQ121213
  • 03-11-2022
  • Mathematics
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Find the area of a regular nonagon (9-sided polygon) if the apothem is 4 cm long, and each side is14 cm.

Find the area of a regular nonagon 9sided polygon if the apothem is 4 cm long and each side is14 cm class=

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GabrielleF503736 GabrielleF503736
  • 03-11-2022

Answer:

[tex]252\text{ cm}^2[/tex]

Explanation:

Here, we want to find the area of the polygon

Mathematically, we have that calculated as:

[tex]A\text{ = }\frac{n\times b\times a}{2}[/tex]

where:

n is the number of sides of the polygon which is 9

b is the length of a side which is 14 cm

a is the length of the apothem which is 4 cm

Substituting the values, we have it that:

[tex]A\text{ = }\frac{9\times14\times4}{2}\text{ = 252 cm}^2[/tex]

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