what is $\frac{5pi}{6}$ radians converted to degrees? if necessary, round your answer to the nearest…
what is $\frac{5pi}{6}$ radians converted to degrees? if necessary, round your answer to the nearest degree.\n30°\n90°\n150°\n900°
Answer
Explanation:
Step1: Recall conversion formula
Use the formula $1$ radian $=\frac{180^{\circ}}{\pi}$.
Step2: Convert given radians
Multiply $\frac{5\pi}{6}$ by $\frac{180^{\circ}}{\pi}$. So, $\frac{5\pi}{6}\times\frac{180^{\circ}}{\pi}=\frac{5\times180^{\circ}}{6}$.
Step3: Simplify the expression
$\frac{5\times180^{\circ}}{6}= 150^{\circ}$.
Answer:
C. $150^{\circ}$