What is the BEST approximation of the area of the shaded region in the figure below?

Answer:
Area of the shaded region[tex]= 50.24 cm^2[/tex]
Step-by-step explanation:
Area of the shaded region=Area of the big circle - Area of the small circle
Radius of big circle= 5 cm
Area of the circle=[tex]\pi r^2[/tex]
As, [tex]\pi =\frac{22}{7} =3.14[/tex]
Area =
[tex]=3.14*5*5\\\\=3.14*25\\\\=78.5cm^2[/tex]
Radius of the small circle= 5-2= 3 cm
Area of the small circle=
[tex]=3.14*3*3\\\\=3.14*9\\\\=28.26cm^2[/tex]
Area of the shaded region= [tex]78.5-28.26[/tex] [tex]= 50.24 cm^2[/tex]