Circle Theorems

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Easy

A geometric diagram showing a circle with center O. A horizontal line DCE is tangent to the circle at point C. Points A and B are on the circumference. Chords AC, BC, and OC are drawn. The angle between the tangent line segment DC and the chord AC is labeled 76°.

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

Angle $76^\circ$

Find the size of angle $A C O$ . Give reasons for each stage of your working.

[2]

Find the size of angle $A B C$ . Give reasons for each stage of your working.

[2]

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.