Question

convert the angle \frac{11\pi}{6} from radians to degrees. degrees question help: video

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For the angle \(\frac{11\pi}{6}\) radians, we have \( \frac{11\pi}{6}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

The \(\pi\) terms cancel out. Then, \(\frac{11\times180^{\circ}}{6}\).
Since \(180\div6 = 30\), we get \(11\times30^{\circ}\).

Step3: Calculate the result

\(11\times30^{\circ}=330^{\circ}\)

Answer:

\(330\)