Two lines intersect each other in a circular plane with an equation x2 + y2 + 4x – 6y = 12. These lines exactly intersect at the center of the circle and forms a region which looks like a pie slice called a sector. Line 1 and 2 have y-intercepts of 9 and 4, respectively. Determine the area of the sector formed by the intersection of said lines. (Note: The area of the sector is calculated as ? = (?/360°) ??2, where θ is the angle between the intersecting lines in degrees)

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