geometry question... picture below

Question

anonymous · Answer

attachment

anonymous · Answer

medal will be given

anonymous · Answer

@campbell_st can you help me please

campbell_st · Answer

about the only thing I can say is if the central angle is 120 then the minor arc BC is subtended by an angle of 120... and the major arc BC is subtended by an angle 240

minor arc BC is 1/3 of the circumference.... 

sorry but it doesn't make a lot of sense to me

anonymous · Answer

ok thank you anyways

triciaal · Answer

I think the question is answered by  @campbell_st but has to be worded to prove that the minor arc is 1/3 the circumference. 
since the circle is 360°  = circumference (2*pi*r) and there is a direct relationship between the angle and the circumference 
then 120/360 = length of arc/ circumference
length of arc, BC = 1/3 the circumference