Figure 1 below shows the sector AOB AOB\,AOB of a circle with radius 6 cm. The chord AB AB\,AB is 8 cm long. The shaded region is bounded by the chord AB AB\,AB and the arc ABABAB.
Find the angle AOB AOB\,AOB in radians, giving your answer to three decimal places.
Calculate the area of the sector AOBAOBAOB.
Calculate the shaded area.