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If you have an equilateral octagon with a semi-circle on two sides and each sides length is 8 inches long how do you find the area of the shape as a whole?

Guest Mar 15, 2017
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Area  of the octagon  =   2 ( 1 + sqrt (2) ) * side^2.....so we have

 

2 (1 + sqrt (2) ) (8)^2  =

 

128 (1 + sqrt(2) )  ≈  309  sq in

 

The two semi-circles will have the same total area as a circle with a radius of 4 in....so their total area  =  pi * radius^2   =  pi * (4)^2  =   16pi sq in 

 

So....the total area ≈  ( 309 + 16pi) sq in  ≈ 359.3 sq in

 

 

cool cool cool

CPhill  Mar 15, 2017

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