2) Consider the sector AOB which has area equal to π square meters and angle π/4 radians subtended at O by the arc AB. (a) Determine the radius, r, of the circle associated with the sector AOB. 4 marks] (b) Show that the perimeter of the sector AOB is P = (s+ π)/V2. (c) Determine the area of the minor segment in the sector AOB 14 marks] [4 marks]

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.