Answer:
C ≈ 11.71 cm
Step-by-step explanation:
using the ratio arc AC : circumference C = angle at centre of sector : 360°
[tex]\frac{AC}{C}[/tex] = [tex]\frac{123}{360}[/tex] , that is
[tex]\frac{4}{C}[/tex] = [tex]\frac{123}{360}[/tex] ( cross- multiply )
123 × C = 4 × 360 = 1440 ( divide both sides by 123 )
C = [tex]\frac{1440}{123}[/tex] ≈ 11.71 cm ( to the nearest hundredth )
