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Tuesday, 21 April 2026
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Calculate, correct to 2 significant figures, the length of the arc of a circle of ...

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].
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  • A 2.3cm
  • B 4.6cm
  • C 8cm
  • D 16cm
  • E 110cm
Correct Answer: Option B
Explanation:
Length of arc = \(\frac{\theta}{360} \times 2\pi r\)
= \(\frac{75}{360} \times 2 \times \frac{22}{7} \times 3.5\)
= \(4.583 cm\)
\(\approxeq\) 4.6 cm (to 2 sig. figs)

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