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  • 12-11-2018
  • Mathematics
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What is the area of the regular octagon?

A. 946.4 cm2
B. 1892.8 cm2
C. 709.8 cm2
D.118.c cm2

What is the area of the regular octagon A 9464 cm2 B 18928 cm2 C 7098 cm2 D118c cm2 class=

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jdoe0001 jdoe0001
  • 12-11-2018

so, the octagon has 8 sides, OCTA=8, each side is 14 cm long, meaning its perimeter is 14+14+14+14+14+14+14+14, or just 8(14) = 112.

its apothem is 16.9.


[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=112\\ a=16.9 \end{cases}\implies A=\cfrac{1}{2}(16.9)(112)\implies A=946.4[/tex]

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