The length of an arc can be calculated using the formula
[tex]\begin{gathered} \text{Length of an arc=}\frac{\theta}{360^0}\times2\pi r \\ \text{where,} \\ \theta=centralangle=150^0 \\ \text{circumference}=2\pi r=37.5cm \end{gathered}[/tex]By substitution, we will have the length of the arc be
[tex]\begin{gathered} \text{length of arc=}\frac{150^0}{360^0}\times37.5\operatorname{cm} \\ \text{length of arc= }\frac{5625}{360} \\ \text{length of arc=}15.625m \\ \end{gathered}[/tex]Hence,
The length of the arc is =15.625m
