Question

Find the length of an arc of a circle whose circumference is 37.5 cm and the centralangle is 150°

Answer 1

The length of an arc can be calculated using the formula

`\begin{gathered} \text{Length of an arc=}(\theta)/(360^0)*2\pi r \\ \text{where,} \\ \theta=centralangle=150^0 \\ \text{circumference}=2\pi r=37.5cm \end{gathered}`

By substitution, we will have the length of the arc be

Hence,

The length of the arc is =15.625m