Answer:
76.969 units squared
or
49pi/2
or
24.5 pi
Step-by-step explanation:
The equation for the area of a complete circle is
[tex]A = \pi r^2[/tex]
Since there is only half a circle, the equation is divided by 2
[tex]\frac{A}{2}=\frac{\pi r^2}{2}[/tex]
Given diameter 14, radius would be 14/2 = 7 units
Plug into the equation for a half circle to solve for area
[tex]\frac{\pi (7)^2}{2} = \frac{49\pi }{2} =24.5\pi = 76.969 units^2[/tex]