Question

convert the angle \frac{5\pi}{6} from radians to degrees. degrees enter an integer or decimal number more.. question help: message instructor submit question

Explanation:

Step1: Use the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For the angle \( \frac{5\pi}{6}\) radians, we substitute into the formula: \( \frac{5\pi}{6}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

Cancel out the \( \pi\) terms: \( \frac{5}{6}\times180^{\circ}\).
Then calculate \( \frac{5\times180^{\circ}}{6}\).
Since \( 180\div6 = 30\), then \( 5\times30^{\circ}=150^{\circ}\).

Answer:

150