Answer: 8.5π
Step-by-step explanation:
If I understand the question correctly, the entire circle has an Area of 9π and you are looking for the Area of the shaded region which has a central angle of [tex]\dfrac{17}{9}\pi[/tex]
the section of the circle that is shaded is [tex]\dfrac{\dfrac{17}{9}\pi}{2\pi}=\dfrac{17\pi}{18\pi}=\dfrac{17}{18}[/tex]
Area of the shaded region is: [tex]9\pi \cdot \dfrac{17}{18}=\dfrac{17}{2}\pi=8.5\pi[/tex]
