Respuesta :

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]