Question

hello I have been working on this question for a long time hopefully you can help me and this a trigonometry question but look at the bottom of the question because if it is in decimal it won't accept the answer as a heads up

Answer 1

To find the arc length, we have to use the following formula:

$\text{arc length = circumference x fraction of circle}$

In this case, we have that r = 6, so:

$\begin{gathered} l\text{ = 2}\pi r\cdot\text{ }\frac{265}{360} \\ \Rightarrow l\text{ = 2}\pi(6)\cdot\text{ }\frac{265}{360} \\ \Rightarrow l\text{ = }\frac{12\cdot265}{360}\pi\text{ = }\frac{265}{30}\pi \end{gathered}$

Therefore, the arc length is 265/30 pi mm