Answer:
The shaded area is 21.03097999 [tex]cm^2[/tex]
(I don't know how many decimal placed you need to round to so I included as many as I had.)
Step-by-step explanation:
To find this we must find the area of the square and the area of the circle
We know that one side of the square is 14
This means that its area is
[tex]14^2=196[/tex]
We know that the radius of the circle is 7 and that the equation for the radius of a circle is [tex]A=\pi r^{2}[/tex]
This means that we can substitute in our know value
[tex]A=\pi (7^2)\\\\A=49 \pi\\\\A=153.93804[/tex]
Now we can find half of the difference of these in order to find the shaded area.
[tex]\frac{1}{2} (196-153.93804)\\\\21.03097999[/tex]
