A circle with area 9pi has a sector with a central angle of 17/9pi radians. What is the area of the sector?

Given:

The circle has an area of 9π

The area of the shaded region has a central angle of

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

Simplifying, we get;

Thus, the section of the circle that is shaded is

Area of the shaded region is given by

Thus, the area of the shaded region is 8.5π

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