Question

convert the angle in radians to degrees.
$\frac{11pi}{6}$ radians
$\frac{11pi}{6}$ radians = $square^{circ}$

Explanation:

Step1: Recall conversion formula

To convert radians to degrees, use the formula $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the angle in degrees and $R$ is the angle in radians.

Step2: Substitute the given value

Given $R=\frac{11\pi}{6}$, then $D=\frac{11\pi}{6}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out, and $\frac{180}{6}=30$. So $D = 11\times30^{\circ}=330^{\circ}$.

Answer:

$330$