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Calculate correct to 2 significant figures the ... - WAEC Mathematics 1994 Question

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 option: b

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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