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The figure below shows two intersecting circles with centres #O_1# and #O_2# having radii 4 cm and 3 cm respectively. #angleAO_1B# = 57.64° and #angleAO_2B# = 80°. #O_1 O_2# is a perpendicular bisector of AB. (Take #pi#=3.142)
Calculate:
(a) the length of AB.
(b) the area of the shaded region.