Circle Theorems

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A geometric diagram showing a circle with center O. A line ARB is tangent to the circle at point R. Points P and Q are on the circle. Line segments RP, RQ, and OQ are drawn. A line segment PQ is also drawn. There are single tick marks on segments PQ and QR, indicating they are equal in length. The angle ARP is labeled as a degrees.

$P$ , $Q\,$ and $R\,$ are points on a circle, centre $O$ . $ARB\,$ is a tangent to the circle at $R$ .

$P Q = QR$ Angle $a^\circ$

Find the size of angle $O R Q$ , in terms of $a$ . Give reasons for each stage of your working.

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Circle Theorems Questions

Practise AQA GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 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.