Consider that the length of arc (L) of a circle with radius (R) and central angle (Θ) is given by the formula,
[tex]L=\frac{\theta}{360}\times2\pi R[/tex]Given the radius as 6 units, and the central angle 330 degrees, the length of arc is calculated as,
[tex]\begin{gathered} L=\frac{330}{360}\times2\pi(6) \\ L=11\pi \\ L\approx34.55 \end{gathered}[/tex]Thus, the length of the arc is 34.55 units approximately.
