Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75^\circ at the centre of the circle. [Take \pi = 22/7].
A
2.3cm
B
4.6cm
C
8cm
D
16cm
E
110cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #23511)