Question 3:
Diagram below shows a sector QPR with centre P and sector POQ, with centre O.
It is given that OP = 17 cm and PQ = 8.8 cm.
[Use π = 3.142]
Calculate
(a) angle OPQ, in radians,
(b) the perimeter, in cm, of sector QPR,
(c) the area, in cm2, of the shaded region.
Solution:
Diagram below shows a sector QPR with centre P and sector POQ, with centre O.
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2014/10/Picture26.png)
[Use π = 3.142]
Calculate
(a) angle OPQ, in radians,
(b) the perimeter, in cm, of sector QPR,
(c) the area, in cm2, of the shaded region.
Solution: