Circle Theorems

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A diagram showing a circle with center O. Points A and C are on the circumference. Lines AB and CB are tangents to the circle at points A and C respectively, meeting at point B outside the circle. The angle ABC is labeled as 46 degrees. Radii OA and OC are drawn from the center O to points A and C on the circumference.

$A\,$ and $C\,$ are points on the circumference of a circle, centre $O$ . $AB\,$ and $BC\,$ are tangents to the circle.

Angle $46^\circ$

Find the size of angle $O A C$ .

Give reasons for each stage of 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.