4MA1/2HR Jun 2024, Question 5: Circumference and Area of a Circle
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
A square ABCD has area 81 cm² and contains a circle touching all four sides at E, F, G, H. Find the total wire length for the square and circle, to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 181 = 9 × 9 so side of square is 9 cm
- 2Perimeter of square = 4 × 9 = 36 cm
- 3Diameter of circle = 9 cm
- 4Circumference of circle = π × 9 = 28.274... cm
- 5Total length of wire = 36 + 28.274... = 64.274...
- 664.274... ≈ 64.3 cm
Answer64.3
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