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 -
E.
110cm
Correct Answer: Option B
Explanation
Length of arc = (frac{theta}{360} times 2pi r)
= (frac{75}{360} times 2 times frac{22}{7} times 3.5)
= (4.583 cm)
(approxeq) 4.6 cm (to 2 sig. figs)