Circle Theorems

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Diagram of a circular plate with center C. A tangent rod PR touches the plate at point P. A line CQR passes through the center C and the edge of the plate at Q. The radius CP is labeled 1.5 m, and the tangent segment PR is labeled 2 m.

A decorative circular plate has centre $C$ . Points $P\,$ and $Q\,$ lie on the circumference of the plate. $PR\,$ is a tangent to the circle at point $P$ . $CQR\,$ is a straight line.

$1.5\text{ m}$ $2\text{ m}$

Find the length of $QR$ .

You must show all your working.

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Circle Theorems Questions

Practise OCR GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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.