Respuesta :
we can see that
semicircle is cut off from a rectangle
Area of rectangle:
length =8
width =14
area =length*width
[tex] Area=14*8 [/tex]
[tex] Area=112 [/tex]
Area of semicircle:
diameter=8
so, radius =4
[tex] Area=\frac{1}{2} \pi r^2 [/tex]
[tex] Area=\frac{1}{2} \pi (4)^2 [/tex]
[tex] Area=25.13274 [/tex]
now, we can find resultant area
[tex] =112-25.13274 [/tex]
[tex] =86.86726 [/tex]
so, option-C..........Answer
The area of the figure is C: 86.9 units2. In order to find it, you find the area of the hemisphere, so πr^2/2, then π4^2/2, then 16π/2, and finally 8π. 8π is about 25.13. Then, you multiply 14×8 to get 112. Last, you do 112-25.13 to get about 86.9. Also, the radius is 4 because the width of the rectangle is 8.