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

#1**+5 **

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

CPhill
Mar 15, 2017