Consider that the length of arc (L) of a circle with radius (R) and central angle (Θ) is given by the formula,
![L=(\theta)/(360)*2\pi R](https://img.qammunity.org/2023/formulas/mathematics/college/pkh5cay5b38cs8g56mvtp4dtpy0ewjnver.png)
Given the radius as 6 units, and the central angle 330 degrees, the length of arc is calculated as,
![\begin{gathered} L=(330)/(360)*2\pi(6) \\ L=11\pi \\ L\approx34.55 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/8h00qswhxuoe21zp1lgoffxcts97x6nssu.png)
Thus, the length of the arc is 34.55 units approximately.