Calculate, correct to 2 significant figures, the length of the arc of a circle of
MATHEMATICS
WAEC 1994
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].
- A. 2.3cm
- B. 4.6cm
- C. 8cm
- D. 16cm
Correct Answer: B. 4.6cm
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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