P P\,P and R R\,R are points on the circumference of a circle, centre OOO. PQ PQ\,PQ and RQ RQ\,RQ are tangents to the circle.
Angle PQR=52∘PQR = 52^\circPQR=52∘
Radii OP OP\,OP and OR OR\,OR are drawn from the centre to the circumference.
Find the size of angle OPROPROPR.
Give reasons for each stage of your working.
Practise AQA GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 71 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
