Question

A circle with area 9 pie has a sector with a central angle of 17/9 pie radians .

Answer 1

Answer: 9 pie

Step-by-step explanation:

Answer 2

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 $\dfrac{17}{9}\pi$

the section of the circle that is shaded is $\dfrac{\dfrac{17}{9}\pi}{2\pi}=\dfrac{17\pi}{18\pi}=\dfrac{17}{18}$

Area of the shaded region is: $9\pi \cdot \dfrac{17}{18}=\dfrac{17}{2}\pi=8.5\pi$