Question

Find the length of the bolded portion of the circle.

Answer 1

Arc length is represented by the following expression, if the angles is in degrees:

`\begin{gathered} s=2\pi r((\theta)/(360)) \\ \text{where,} \\ r=\text{radius} \\ \theta=\text{ angle in degrees} \end{gathered}`

Since we have a radius of 5mm and an angle of 232°, we can solve for s:

`\begin{gathered} s=2\pi(5)((232)/(360)) \\ s=(2320\pi)/(360) \\ s=20.25\text{ mm} \end{gathered}`