Circle Theorems

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A geometric diagram of a circle with center O. Points A, B, and C are on the circumference. A tangent line DCE touches the circle at point C. Chords AB, BC, AC, OB, and OC are drawn. Angle ABO is labeled as 28 degrees and angle BCE is labeled as 65 degrees.

$A$ , $B\,$ and $C\,$ are points on the circumference of a circle, centre $O$ . $DCE\,$ is a tangent to the circle.

Angle $28^\circ$ Angle $65^\circ$

Find the size of angle $A C O$ .

Give reasons for each stage of 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.