Answer:
100.26
Step-by-step explanation:
You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.
This is what that would look like:
1. Divide 6 (the diameter) by 2 because [tex]r=\frac{1}{2} d[/tex]
[tex]r=\frac{1}{2} 6[/tex]
[tex]r=3[/tex]
2. plug into the formula [tex]A=\pi r^{2}[/tex]
[tex]A=\pi 3^{2}[/tex]
3. square the 3
[tex]A=\pi 9[/tex]
4. multiply 9 by 3.14 (pi)
[tex]A=28.26[/tex]
This means the area of both the semi circles added together would equal 28.26
Then you would use the formula [tex]A=lw[/tex] to find the area of the rectangle
1. plug in the numbers given
[tex]A= 12[/tex] · [tex]6[/tex]
2. solve
[tex]A=72[/tex]
Then add the area of the semicircles to the area of the rectangle
[tex]A=28.26+72[/tex]
to get the area of the entire figure:
[tex]A=100.26[/tex]
