4MA1/2H Jan 2022, Question 19: Chord Properties
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
A circle has diameter PTQ and chord RTS meeting at T, with TQ = 3 cm, ST = 4 cm and TR = 12 cm. Work out the circle's radius.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Intersecting chords: PT × TQ = RT × TS
- 2PT × 3 = 12 × 4 = 48, so PT = 16
- 3Diameter PQ = 16 + 3 = 19 cm
- 4Radius = 19 ÷ 2 = 9.5
Answer9.5
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