kryssypoo51
kryssypoo51 kryssypoo51
  • 01-04-2020
  • Mathematics
contestada

What is the area of a regular dodecagon with a side length of 9 centimeters? Round your answer to the nearest tenth.

Respuesta :

opudodennis
opudodennis opudodennis
  • 07-04-2020

Answer:

[tex]A=906.9\ cm^2[/tex]

Step-by-step explanation:

A do-decagon is a polygon with 12 straight sides and 12 equal angles.

-The general formula for finding area of a do-decagon is given as:

[tex]A=3(2+\sqrt{3})s^2[/tex]

where s is the sides length.

-Given the sides dimension is 9cm, the area is calculated as;

[tex]A=3(2+\sqrt{3})s^2\\\\=3(2+\sqrt{3})\times 9^2\\\\=906.8883462\approx906.9\ cm^2[/tex]

Hence, the do-decagon's area is [tex]906.9\ cm^2[/tex]

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