Answer:
[tex]A=125.66\ cm^2[/tex]
Step-by-step explanation:
The complete question is
The area of the shaded region is the area inside the larger circle and outside the smaller circle
so
To find out the area of the shaded region subtract the area of the smaller circle from the area of the larger circle
Remember that
The area of the circle is
[tex]A=\pi r^{2}[/tex]
therefore
The area of the shaded region is
[tex]A=\pi [r_1^2-r_2^2][/tex]
where
[tex]r_1=11\ cm[/tex] ---> radius of the larger circle
[tex]r_2=9\ cm[/tex] ---> radius of the smaller circle
assume
[tex]\pi =3.1416[/tex]
substitute
[tex]A=3.1416 [11^2-9^2][/tex]
[tex]A=3.1416 [40][/tex]
[tex]A=125.66\ cm^2[/tex]
