Question 5:
Diagram below shows a semicircle PTS, centre O and radius 8 cm. PTR is a sector of a circle with centre P and Q is the midpoint of OS.
[Use π = 3.142]
Calculate
(a) ∠TOQ, in radians,
(b) the length , in cm , of the arc TR ,
(c) the area, in cm2 ,of the shaded region.
Solution:
(a)
(b)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2018/11/Picture29.png)
(c)
Diagram below shows a semicircle PTS, centre O and radius 8 cm. PTR is a sector of a circle with centre P and Q is the midpoint of OS.
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2018/11/Picture28.png)
Calculate
(a) ∠TOQ, in radians,
(b) the length , in cm , of the arc TR ,
(c) the area, in cm2 ,of the shaded region.
Solution:
(a)
(b)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2018/11/Picture29.png)
(c)