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Circle Theorems

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Question 2
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Diagram: A circle with center O. A tangent line RP touches the circle at point P. A radius OP is drawn. A line segment OR is drawn from the center to the external point R. The angle at the center O is labeled 52°.

P P\,P is a point on the circumference of a circle, centre OOO. RP RP\,RP is a tangent to the circle.

Angle POR=52∘POR = 52^\circPOR=52∘

Work out the size of angle PROPROPRO. You must show all your working.

[2]

Circle Theorems Questions

  1. GCSE
  2. /Maths
  3. /Circle Theorems

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.

Question bank