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Nanyang 2025 P6 Maths Prelim — Paper 2 Q17a Solution

Paper 2 · Q17a · 2 marks · Area and Perimeter

Question

The figure is made up of 3 identical big circles, 2 identical small circles and 2 identical squares. The area of each square is 200 cm^2. Find the radius of the big circle.
Answer: 10 cm

Worked solution

  1. Each square has area $200\text{ cm}^2$ and is inscribed in a big circle so that its diagonal is the diameter. The diagonal squared $= 2 \times 200 = 400$, so the diameter $= 20$ cm. The radius of the big circle $= 20 \div 2 = 10$ cm.

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