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Raffles Girls 2025 P6 Maths Prelim — Paper 1 Booklet A Q14 Solution

Paper 1 Booklet A · Q14 · 2 marks · Area and Perimeter

Question

The figure shows a semi-circle and a square. The diameter of the semi-circle is 21 cm. What is the perimeter of the figure? (Take $\pi = \frac{22}{7}$)

1. 54 cm
2. 66 cm
3. 68 cm
4. 101 cm

Answer: 3

Worked solution

\text{Semi-circle: } d = 21 \text{ cm}
\text{Arc length} = \tfrac{1}{2} \times \pi d = \tfrac{1}{2} \times \tfrac{22}{7} \times 21 = 33 \text{ cm}
\text{Square side} = 21 - 5 - 9 = 7 \text{ cm}
\text{Perimeter} = \text{arc} + 5 + 7 + 7 + 7 + 9
= 33 + 35 = 68 \text{ cm}

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