Answer:
The area of the shaded region is [tex](121\pi -24)\ 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} -bh[/tex]
we have
[tex]r=11\ cm[/tex]
[tex]b=4\ cm[/tex]
[tex]h=6\ cm[/tex]
substitute the values
[tex]A=\pi (11^{2}) -(4)(6)[/tex]
[tex]A=(121\pi -24)\ cm^{2}[/tex] ----> exact value of the shaded area
