The diagram shows a circle, centre O, of radius 6 cm. The points A and B are on the circumference of the circle. The area of the shaded major sector is 80 cm². Given that ∠AOB = θ radians, where 0 < θ < π, calculate:
a. The value, to 3 decimal places, of θ.

b. The length in cm, to 2 decimal places, of the minor arc AB.

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B