$Area(semi-circle)$Let's begin by listing out the information given to us:
This is a composite shape composed of a semicircle and a square
Radius (r) = 6 m
Length (l) = 12 m
To obtain the area of the composite shape, we will sum up the areas of the semicircle and square
AREA OF SEMI-CIRCLE
[tex]\begin{gathered} Area(semi-circle)=\frac{1}{2}\pi r^2 \\ Area(semi-circle)=\frac{1}{2}\cdot3.14\cdot6^2 \\ Area(semi-circle)=56.52m^2 \end{gathered}[/tex]
AREA OF SQUARE
[tex]\begin{gathered} AreaSquare=l^{2} \\ AreaSquare=12^{2}=144 \\ AreaSquare=144m^{2} \end{gathered}[/tex]
Total Area = Area of semicircle + Area of square = 56.52 + 144 = 200.52
Total Area = 200.52 m²
