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St Nicholas 2025 P6 Maths Prelim — Paper 1 Booklet A Q12 Solution

Paper 1 Booklet A · Q12 · 2 marks · Area and Perimeter

Question

The outline of the shaded figure is formed by 2 identical small semicircles and 2 identical large semicircles. The radius of the small semicircle is 3 cm. Find the perimeter of the shaded parts. (Take $\pi = 3.14$)
Answer: 2

Worked solution

  1. The perimeter is made up of the two small semicircular arcs and the two large semicircular arcs. Adding all four arc lengths gives a total perimeter of $47.96\text{ cm}$.

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