Answer:
69.25 m²
Step-by-step explanation:
We are given a figure that is made out of a triangle and a semicircle. We need to find the area of the two shapes and combine them.
Area of the Triangle:
Area of a triangle is: [tex]A=\frac{b*h}{2}[/tex]
'b' is the base
'h' is the height
We are given a base of 10 meters and a height of 6 meters.
[tex]A=\frac{10*6}{2}\\\\A=\frac{60}{2} \\\\\boxed {A=30}[/tex]
The area of the triangle is 30m².
Finding the area of the semicircle:
Area of the semicircle is: [tex]A=\frac{\pi r^2}{h}[/tex]
'r' is the raduis.
We are given the diameter of 10m.
Since radius is half the diameter, the radius is 5.
10/2 = 5
[tex]A=\frac{3.14*5^2}{2} \\\\\rightarrow 5^2=25\\\\A=\frac{3.14*25}{2}\\\\A=\frac{78.5}{2} \\\\\boxed {A=39.25}[/tex]
The area of the semicircle is 39.25m².
Area of the figure:
39.25 + 30 = 69.25
The area of the figure should be about 69.25 m².
