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Circle Theorems

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Question 1
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Diagram for Question 1: A circle with center O. A tangent line AB touches the circle at point B. A radius OB is drawn. A line segment OA is drawn from the center to the external point A. The angle between the radius OB and the line segment OA is labeled 72°.

B B\,B is a point on the circumference of a circle, centre OOO. AB AB\,AB is a tangent to the circle.

Angle BOA=72∘BOA = 72^\circBOA=72∘

Work out the size of angle BAOBAOBAO. You must show all your working.

[2]

Circle Theorems Questions

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

Practise OCR GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 71 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.

Question bank