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Circle Theorems

Circle Theorems

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Question 36

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 27 degrees and angle BCE is labeled as 53 degrees.

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.

Angle ABO=27∘ABO = 27^\circABO=27∘ Angle BCE=53∘BCE = 53^\circBCE=53∘

Find the size of angle ACOACOACO.

Give reasons for each stage of 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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