when you have a circumference that has a radio of 1 unit we can say that 360° are going to be 2pi, or 180° is pi.
the formula for the arclength will be
[tex]S=r\Theta[/tex]
now we have to pass the 165° to radians, and that is why we use the 180°=pi
[tex]\begin{gathered} 180=\pi \\ 165=x \\ x=\frac{165}{180}\pi=\frac{11}{12}\pi \end{gathered}[/tex]
now that you have the angle in radians, multiply it by the radio.
[tex]\begin{gathered} S=2.40\cdot(\frac{11}{12}\pi) \\ S=\frac{11}{5}\pi\approx6.9m \end{gathered}[/tex]
