Question

how many degrees is \\(\frac{11pi}{6}\\) radians?

Explanation:

Step1: Recall radian-degree conversion

We know $\pi$ radians $= 180^\circ$, so 1 radian $= \frac{180^\circ}{\pi}$.

Step2: Multiply by target radian value

Multiply $\frac{11\pi}{6}$ by the conversion factor $\frac{180^\circ}{\pi}$.
$$\frac{11\pi}{6} \times \frac{180^\circ}{\pi}$$

Step3: Simplify the expression

Cancel $\pi$, then calculate $\frac{11 \times 180}{6} = 11 \times 30 = 330$.

Answer:

$330^\circ$