Circle Theorems

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Diagram of a circle with center O. A tangent line AC touches the circle at point A. A secant line OBC passes through the center O and intersects the circle at point B. The radius OA is labeled 8 cm, and the tangent segment AC is labeled 15 cm.

$A\,$ and $B\,$ are points on the circumference of a circle, centre $O$ . $AC\,$ is a tangent to the circle. $OBC\,$ is a straight line.

$8\text{ cm}$ $15\text{ cm}$

Find the length of $B C$ .

You must show all 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.