4MA1/2HR Jun 2025, Question 15: Combining Circle Theorems
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
Using a circle with centre O and points A, B, C on it, where angle BAO is 36° and angle BCO is 21°, determine the size of angle ACO.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1OA = OB = OC (radii), so angle ABO = 36° and angle CBO = 21°
- 2Angle ABC = 36 + 21 = 57°
- 3Angle AOC = 2 × 57 = 114° (angle at centre)
- 4Triangle AOC is isosceles: angle ACO = (180 − 114) ÷ 2
- 5= 33°
Answer33
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