Question

19 multiple choice 1 point find the degree measure of an angle of $-\frac{19\pi}{10}$ radians. $-5.97^{\circ}$ $-342^{\circ}$ $-342\pi^{\circ}$ $-\frac{19\pi}{1800}^{\circ}$

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For \( -\frac{19\pi}{10}\) radians, the conversion is \( -\frac{19\pi}{10}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

Cancel out the \(\pi\) terms: \( -\frac{19}{10}\times180^{\circ}\).
Then calculate \( \frac{19\times180}{10}=19\times18 = 342\).
So the result is \( - 342^{\circ}\).

Answer:

\(-342^{\circ}\) (the second option)