The area of this figure is the sum of areas of the right triangle and the semi-circle
Area of the triangle = 1/2 * base * height
The base = 6 feet
The height = 8 feet
So the area of the triangle is:
[tex]\text{Area}=\frac{1}{2}\times6\times8=24ft^2[/tex]Now let us find the area of the semi-circle
Area of semi-circle = 1/2 * 3.14 * r^2
Since the diameter of the semi-circle is 8 feet and the radius is 1/2 the diameter
So the radius = 8/2 = 4 ft
Area of semi-circle is:
[tex]\text{Area =}\frac{1}{2}\times3.14\times4^2=25.12ft^2[/tex]Let us add the two areas to find the area of the figure
Area of the figure = 24 + 25.12 = 49.12 square feet
The missing is 49.12
