The first step to solving this problem is to find the area and circumference of the half circle using these equations:
[tex] d/\frac{1}{2} =r [/tex] [tex] r*\pi=C [/tex] and [tex] C/\frac{1}{2}= a [/tex]
d= diameter
r= radius
C= circumference
a= answer
So the the "d" of the half circle is 10, and half of 10 is
[tex] r=5 [/tex] . Because we are solving for only half of the circle this is what happens:
[tex] 5*\pi =15.71 [/tex]
[tex] 15.71*\frac{1}{2} =7.86 [/tex]
Now we just add the other sides together: [tex] 10+19+19+7.86=55.86m [/tex]
The Perimeter is 55.86
Now for the area we must use a similar equation for the half circle: [tex] Area=\pi r^2 [/tex]
[tex] 5^2=25 [/tex][tex] 25*\pi =78.54 [/tex]
This is the area of the whole circle so we have to divide 78.54 by half to get our answer, which is 39.27
[tex] 10*19=190 [/tex] This is the area of the rectangle
[tex] 190+ 39.27=229.27 [/tex] Is the area of the whole shape
Perimeter= 55.86
Area= 229.27
