4MA1/1F Jun 2018, Question 20: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks
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The question, in short
Using a circle with diameter MON and right-angled triangle MPN where MP = 3.5 cm and PN = 9.7 cm, find the circumference, giving the answer to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1MN is a diameter and angle MPN = 90°, so use Pythagoras
- 2MN² = 9.7² + 3.5² = 94.09 + 12.25 = 106.34
- 3MN = √106.34 = 10.312… cm
- 4Circumference = π × diameter = π × 10.312… = 32.398…
- 5To 3 s.f., circumference (cm) = 32.4
Answer32.4
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