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Circle Theorems

Circle Theorems

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Question 19

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

Angle ACD=76∘ACD = 76^\circACD=76∘

a.

Find the size of angle ACOACOACO. Give reasons for each stage of your working.

[2]
b.

Find the size of angle ABCABCABC. Give reasons for each stage of your working.

[2]
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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