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 15 degrees and angle BCE is labeled as 48 degrees.

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

Angle $15^\circ$ Angle $48^\circ$

Find the size of angle $A C O$ .

Give reasons for each stage of your working.

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Circle Theorems Questions

Practise 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.