Question

what is the equivalent degree measure of $-\frac{2\pi}{3}$ radians written in simplest terms?\
\\(\circ\\) $120^\circ$\
\\(\circ\\) $-\frac{360^\circ}{3}$\
\\(\circ\\) $-\frac{\pi^2}{270}$\
\\(\circ\\) $-120^\circ$\
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.

Explanation:

Step1: Use the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
Given \( \text{Radians}=-\frac{2\pi}{3}\), then \( \text{Degrees}=-\frac{2\pi}{3}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

Cancel out the \( \pi \) terms: \( -\frac{2}{3}\times180^{\circ}\).
Calculate \( -\frac{2\times180^{\circ}}{3}\). Since \( 180\div3 = 60\), then \( - 2\times60^{\circ}=-120^{\circ}\).

Answer:

\(-120^{\circ}\)