Circle Theorems
69
Medium
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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 5 cm, and the tangent segment AC is labeled 12 cm.

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

OA=5 cmOA = 5\text{ cm}OA=5 cm AC=12 cmAC = 12\text{ cm}AC=12 cm

Find the length of BCBCBC.

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.

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Circle Theorems Questions

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