11 (a) The diagram shows two circles with equal radii. A, E and C are points on the circle, centre B. B, E, D and F are points on the circle, centre C. ABCD is a straight line. (i) Show that triangles AEC and FBE are congruent. (ii) State another triangle that is congruent to triangle AEC. (iii) Explain why EB is parallel to DF. (iv) Work out ABEˆ. (b) P and Q are points on the circle centre O with radius 4 cm. POQˆ = 130°. (i) Calculate the area of triangle POQ. (ii) Calculate the area of the major segment, shown unshaded in the diagram.