Answer:
The shaded area can be found using:
[tex]\bf B.\ 4r^2-\pi r^2[/tex]
Step-by-step explanation:
We can find the shaded area by looking at the dotted square.
The dotted square's side is 2r, then the area of the square is:
[tex]\boxed{Area(A)=side^2}[/tex]
[tex]A=(2r)^2[/tex]
[tex]A=4r^2[/tex]
Also, the dotted square is comprised of 4 × 1/4 circle and the shaded area. Then, the area of the square is:
[tex]A=4\times\frac{1}{4} \ of\ the\ circle\ area+shaded\ area[/tex]
[tex]A=the\ circle\ area+shaded\ area[/tex]
[tex]A=\pi r^2+shaded\ area[/tex]
If we combine the 2 formulas, then we have:
[tex]4r^2=\pi r^2+shaded\ area[/tex]
[tex]\bf shaded\ area=4r^2-\pi r^2[/tex]
