Question

chapter 5 quiz 100 points possible answered: 9/10 question 10 convert the angle $\frac{2pi}{3}$ from radians to degrees. 120 degrees enter an integer or decimal number more... add work

Explanation:

Step1: Recall conversion formula

We know that to convert radians to degrees, we use the formula $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the angle in degrees and $R$ is the angle in radians.

Step2: Substitute given value

Given $R=\frac{2\pi}{3}$, then $D=\frac{2\pi}{3}\times\frac{180^{\circ}}{\pi}$.
The $\pi$ terms cancel out, and $\frac{2}{3}\times180 = 120$.

Answer:

120