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The arc of a circle 50 cm long, subtends angle of 75°&nb...

The arc of a circle 50 cm long, subtends angle of 75° at the center of the circle. Find correct to 3 significant figures, the radius of the circle. Take π=227

A.

8.74cm

B.

38.2cm

C.

61.2cm

D.

76.4cm

Correct answer is B

Length of arc = θ360×2πr

50=75360×2×227×r

r=50×360×775×2×22

r=42011

= 38.18 cm 38.2 cm (3 sig. figs)