First we will find the area of the semi circles.
The formula for a circle's area is A=[tex] \pi r^2[/tex]
So the radius of the bottom semi circle is 5 because 10 is the diameter.
[tex]A= \pi 5^2[/tex]
We can assume 3.14 is pi.
[tex]A=3.14*5^2[/tex]
[tex]A=3.14*25[/tex]
A=78.5
Then we divide that in half because it's only a half circle.
A=39.25
Now we can find the area of the other two semi-circles.
We use the same formula.
[tex]A=3.14*6.5^2[/tex]
A=132.665
Divide in half because it is a semi-circle.
A=66.3325
The last semi-circle has the same diameter as the second so the area will be the same.
A=66.3325
Now we find the area of the triangle.
The formula for the area of a triangle is
[tex]A= \frac{h*b}{2} [/tex]
The height is 12 and the base is 10.
[tex]A= \frac{12*10}{2} [/tex]
Simplify
[tex]A= \frac{120}{2} =60[/tex]
So A=60
Now we add up all the areas.
39.25+66.3325+66.3325+60=231.915
Don't forget to add our unit!
The area of all semi-circles and the triangle is 231.915m
