For this case we have that by definition:
The area of a circle is: [tex]A_ {c} = \pi * r ^ 2[/tex]
Where r is the radius of the circle.
The area of a square is: [tex]A_ {s} = l ^ 2[/tex]
Where l is the side of the square.
The area of the shaded region will be:
[tex]A_ {sr} = A {s} -A_ {c}[/tex]
So:
[tex]A_ {s} = 10 * 10\\A_ {s} = 100 \ cm ^ 2[/tex]
On the other hand:
[tex]A_ {c} = \pi * (\frac {10} {2}) ^ 2\\A_ {c} = \pi * 25\\A_ {c} = 78.5375cm ^ 2[/tex]
Finally:
[tex]A_ {sr} = 100-78.5375\\A_ {sr} = 21.4625[/tex]
Rounding out, we have that the area of the shaded region is 21.5 square centimeters.
Answer:
Option D
