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Circle Theorems

Circle Theorems

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Question 39

A circle with center O. Points A, B, C, and D are on the circumference. Chords AB, BC, CD, and DA are drawn, forming a cyclic quadrilateral ABCD. Radii OB and OD are drawn, forming an angle BOD labeled x degrees.

AAA, BBB, C C\,C and D D\,D are points on the circumference of a circle, centre OOO.

Angle BOD=x∘BOD = x^\circBOD=x∘

Find the size of angle BCDBCDBCD, in terms of xxx. Give reasons for each stage of your working.

[3]
Markscheme

Circle Theorems Questions

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

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

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