Circle Theorems

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Diagram of a circle with center O. A tangent line XZ touches the circle at point X. A line OYZ passes through the center O and the circumference at point Y. The radius OX is labeled 11 cm, and the tangent segment XZ is labeled 60 cm.

$X\,$ and $Y\,$ are points on the circumference of a circle, centre $O$ . $XZ\,$ is a tangent to the circle at $X$ . $OYZ\,$ is a straight line.

$11\text{ cm}$ $60\text{ cm}$

Find the length of $Y Z$ .

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.