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Calculate, correct to 2 significant figures, the length o...

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.

16cm

Correct answer is B

Length of arc = θ360×2πr

= 75360×2×227×3.5

= 4.583cm

4.6 cm (to 2 sig. figs)