Given:
The circle has an area of 9π
The area of the shaded region has a central angle of [tex]\frac{17}{9} \pi[/tex]
We need to determine the area of the shaded region.
Area of the shaded region:
The section of the circle that is shaded is given by
[tex]\frac{\frac{17}{9} \pi}{2 \pi}=\frac{17 \pi}{18 \pi}[/tex]
Simplifying, we get;
[tex]\frac{17}{18}[/tex]
Thus, the section of the circle that is shaded is [tex]\frac{17}{18}[/tex]
Area of the shaded region is given by
[tex]A=9 \pi \cdot \frac{17}{18}[/tex]
[tex]A=8.5 \pi[/tex]
Thus, the area of the shaded region is 8.5π
