Question

convert the angle in radians to degrees.
\frac{31x}{18} radians
\frac{31x}{18} 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 degree - measure and $R$ is the radian - measure.

Step2: Substitute the given value

Given $R=\frac{31\pi}{18}$, then $D=\frac{31\pi}{18}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out, and $\frac{180}{18}=10$. So $D = 31\times10^{\circ}=310^{\circ}$.

Answer:

$310$