Answer:
The area of the shaded region is [tex](36\pi-35)\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of the rectangle
so
[tex]A=\pi r^{2}-a*b[/tex]
we have
[tex]a=7\ cm[/tex]
[tex]b=5\ cm[/tex]
[tex]r=6\ cm[/tex]
substitute the values
[tex]A=\pi (6)^{2}-(7)*(5)[/tex]
[tex]A=(36\pi-35)\ cm^{2}[/tex]
