Part II: Item 5
Answer one item from this part
Your sister bakes cakes and has received an order for a cake from your friend, Joseph, who needs a cylindrical cake with a base area of 660.5 cm². Your sister has suggested two payment plans to Joseph. He can pay shs.400,000 cash or pay a deposit of shs. 200,000 and 2 equal installments of shs.110,000 each. However Joseph has found it hard to decide on the payment plan.
Your sister has a triangular board that she wants to use to cut out the circular tray on which the base of the cake will sit. The two sides of the triangular board measure 60cm and 48cm, and the angle between these sides is 60°. Your sister is not sure whether the largest circular tray (inscribed circle) she can cut out of the triangular board will be enough for the baseof the cake.
Task:
- a) Which of the two payment plans will you recommend to Joseph? Give a reason for your answer.
- b) Determine whether the largest circular tray she plans to cut out of the triangular board will be enough for the base of the cake.
