Question

question
convert the angle \frac{7\pi}{6} radians to degrees.

Explanation:

Step1: <Conversion formula>

To convert radians to degrees, use the formula: Degree measure = Radian measure $\times\frac{180^{\circ}}{\pi}$.
For the given angle $\frac{7\pi}{6}$ radians, the degree measure is $\frac{7\pi}{6}\times\frac{180^{\circ}}{\pi}$.

Step2: <Simplify the expression>

Cancel out the $\pi$ terms: $\frac{7}{6}\times180^{\circ}$.
Now, calculate $\frac{7\times180^{\circ}}{6}$.
Since $180\div6 = 30$, then $7\times30^{\circ}=210^{\circ}$.

Answer:

$210^{\circ}$