Question

7 type the correct answer in the box. if the measure of angle θ is $\frac{7pi}{6}$. the equivalent measurement in degrees is 。

Explanation:

Step1: Recall conversion formula

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

Step2: Substitute given value

Given $R=\frac{7\pi}{6}$, then $D=\frac{7\pi}{6}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out. $\frac{7}{6}\times180 = 7\times30=210$.

Answer:

$210$