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Question 1
4 marksPoints PPP, Q Q\,Q and R R\,R lie on the circumference of a circle with centre OOO. SRT SRT\,SRT is a tangent to the circle at point RRR.
PQ=QRPQ = QRPQ=QR Angle QRT=54∘QRT = 54^\circQRT=54∘
A [ ] is a straight line joining two points on the circumference.
Revision notes for OCR GCSE Maths Circle Theorems. Open the guide for explanations and worked examples. Written against the OCR GCSE Maths (J560) specification, so the content matches what's examinable rather than general Maths background.
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Points AAA, BBB and CCC lie on a circle. A tangent touches the circle at CCC. Given that angle ABC=64∘ABC=64^\circABC=64∘ and angle ACB=73∘ACB=73^\circACB=73∘, find the angle between the tangent and chord CBCBCB.