4MA1/2H Jun 2024, Question 21: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 5 marks
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The question, in short
A circle sits inside square ABCD, touching all four sides, with the four corner regions shaded. Given the shaded area is 80 cm², find diagonal AC to 3 significant figures.
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Solution · 5 marks
- 1Let the radius be r, so the square has side 2r.
- 2Shaded area = 4r² − πr² = 80, so r² = 80 ÷ (4 − π) = 93.20.
- 3r = 9.654, so the side of the square is 19.31 cm.
- 4AC = √(19.31² + 19.31²) = 27.3
Answer27.3
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