Circle Theorems
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Medium
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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 and BC are drawn. A radius OC is drawn from the center O to the point of tangency C. The angle between the radius OC and the tangent line CE is labeled 65°. Chords AB and BC are marked with single tick marks, indicating they are of equal length.

AAA, B B\,B and C C\,C are points on the circumference of a circle, centre OOO. DCE DCE\,DCE is a tangent to the circle.

AB=BCAB = BCAB=BC Angle BCE=65∘BCE = 65^\circBCE=65∘

Find the size of angle AOCAOCAOC.

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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