4MA1/1F Jan 2023, Question 23: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks
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The question, in short
Triangle ABC sits in a semicircle with diameter AB, AC = 18 cm, angle BAC = 50° and angle ACB = 90°. Find the semicircle's perimeter to 2 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1cos 50° = 18 / AB
- 2AB = 18 / cos 50°
- 3AB = 18 / 0.6428
- 4AB = 28.003...
- 5Perimeter of semicircle = (1/2) × π × AB + AB
- 6(1/2) × π × 28.003... = 43.9...
- 743.9... + 28.003... = 71.99
- 872
Answer72
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