Question:
Two wheels with centres A and B are touching each other as shown in Figure 1. Each wheel is of radius 7 cm.
(a) Find the area of the shaded part.
(b) The wheels turn along the straight line XY in opposite directions as shown in Figure 1. Find the distance between A and B when each wheel has made 5 complete turns. (The new position, not drawn to scale, is shown in Figure 2.)
(Take π = 22/7)
Solution:
![P6 / Ai Tong / 2020 / SA2 Prelims / Paper 1 – Q04 [1 mark]](https://i0.wp.com/sgprimaths.com/wp-content/uploads/2021/08/P6_SA2_2020_Ai_Tong_Paper1_Q04-Qns.jpg?resize=400%2C260&ssl=1)
![P6 / Nanyang / 2019 / SA1 / Paper 2 – Q08 [3 marks]](https://i0.wp.com/sgprimaths.com/wp-content/uploads/2020/05/P6_Nanyang_2019_SA1_Paper2_Q08-Qns.jpg?resize=400%2C210&ssl=1)