In a circle of radius 10cm, a chord PQ of length 16cm is drawn.
a. (i) Find the magnitude of the angle POQ subtended by the chord at the centre.
b. (ii) Determine the area of the minor segment cut off by chord PQ.
c. (iii) Calculate the perimeter of the minor segment, taking π=3.14.
d. (iv) Obtain the area of the corresponding major segment.