Question

convert the angle in radians to degrees.
\frac{5\pi}{18}
\frac{5\pi}{18}=\square^{circ} (simplify your answer.)

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 $R=\frac{5\pi}{18}$, then $D=\frac{5\pi}{18}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

Cancel out $\pi$ in the numerator and denominator. $\frac{5\pi}{18}\times\frac{180^{\circ}}{\pi}=\frac{5\times180^{\circ}}{18}$. And $\frac{5\times180}{18}=5\times10 = 50^{\circ}$.

Answer:

$50$