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Circle Theorems

Circle Theorems

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Question 34

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.

[4]
Markscheme

Circle Theorems Questions

  1. GCSE
  2. /Maths
  3. /Circle Theorems

59 exam-style questions on Eduqas GCSE Maths Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.

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