The figure below shows two intersecting circles with centres O1 and O2 having radii 4 cm and 3 cm respectively. ∠AO1B = 57.64° and ∠AO2B = 80°. O1O2 is a perpendicular bisector of AB. (Take π=3.142)Calculate: (a) the length of AB. (b) the area of the shaded region.