Answer:
The area of the shaded region is [tex]27.74\ cm^{2}[/tex]
Step-by-step explanation:
I assume that the shaded region is the area inside of rectangle and outside the circle
so
The shaded region is equal to the area of rectangle minus the area of circle
step 1
Find the area of rectangle
The area of rectangle is equal to multiply the length by the width
[tex]A=(8)(7)=56\ cm^{2}[/tex]
step 2
Find the area of the circle
The area of the circle is
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=3\ cm[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(3^{2})[/tex]
[tex]A=28.26\ cm^{2}[/tex]
step 3
Find the area of the shaded region
[tex]56-28.26=27.74\ cm^{2}[/tex]
