4MA1/2F Jun 2023, Question 23: Tangent Properties of a Circle
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks
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The question, in short
Two tangents from D touch a circle with centre O at A and C, with angle ADC = 48°. Find the reflex angle AOC.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1DCO = 90 and DAO = 90 (tangents perpendicular to radii)
- 2Angle at centre and angle between tangents: 360 − 90 − 90 − 48 = 132
- 3Reflex angle AOC = 360 − 132 = 228
Answer228
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