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
