rhco1823 rhco1823
  • 14-04-2018
  • Mathematics
contestada

Find the area of a regular octagon with apothem K and side of 10.

40K
60K
80K

????

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 05-04-2019

Answer: 40K

Step-by-step explanation:

We know that the area of a regular polygon is given by :-

[tex]A=\frac{1}{2}*Apothem*Perimeter[/tex]

Given: The side of regular octagon = 10

Then, the perimeter of the regular octagon =[tex]8(side)=8(10)=80[/tex]

Now, the area of given regular octagon is given by :-

[tex]A=\frac{1}{2}\timesK\times80\\\Rightarrow\ A=40K[/tex]

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