Question 9:
Diagram 4 shows a circle ADBC, with centre O and diameter 12 cm while sector ADC with the centre A and radius AD = 10 cm.
Diagram 4
By using π = 3.142,
find
(a) ∠BAC in radians, (2 marks)
(b) area, in cm2, of the shaded region. (3 marks)
Solution:
(a)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2022/02/Picture5-300x292.png)
(b)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2022/02/Picture6-300x292.png)
Diagram 4 shows a circle ADBC, with centre O and diameter 12 cm while sector ADC with the centre A and radius AD = 10 cm.
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2022/03/Picture3-300x292.png)
By using π = 3.142,
find
(a) ∠BAC in radians, (2 marks)
(b) area, in cm2, of the shaded region. (3 marks)
Solution:
(a)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2022/02/Picture5-300x292.png)
(b)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2022/02/Picture6-300x292.png)