Question:
In the figure below, rectangle ABCD overlaps a circle with AB passing through the centre of the circle and DC touching a point, S, on the circumference of the circle. The area of the shaded part is 1/3 of the area of the rectangle.
(a) Find the length of CD.
(b) Find the perimeter of the figure. Take π = 22/7.
Solution:
![P6 / Nan Hua / 2020 / SA2 Prelims / Paper 1 – Q15 [2 marks]](https://i0.wp.com/sgprimaths.com/wp-content/uploads/2022/02/P6_SA2_2020_Nan_Hua_Paper1_Q15-Qns.jpg?resize=400%2C260&ssl=1)
![P6 / Nan Hua / 2019 / SA2 / Paper 2 – Q07 [3 marks]](https://i0.wp.com/sgprimaths.com/wp-content/uploads/2020/07/P6_Nan_Hua_2019_Prelims_Paper2_Q07-Qns.jpg?resize=400%2C260&ssl=1)