A circular badge of radius 10cm is to be painted on one side only. The design requires the major segment corresponding to a 120∘ central angle to be painted blue and the rest to remain blank. Take π=3.14.
a. (i) Calculate the area of the entire circular badge.
b. (ii) Determine the area of the minor segment cut off by the 120∘ chord.
c. (iii) Hence find, correct to two decimal places, the area that must be painted blue.