1: Homework
re: $30 / 100 \quad 5 / 10$ answered
Question 10
Convert the angle $\frac{-2 \pi}{3}$ from radians to degrees:
\[
\frac{-2 \pi}{3}=
\]
Submit Question Jump to Answer

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The angle $-2 \pi / 3$ in degrees is $\boxed{-120}$ degrees

Steps

Step 1 ：Given the angle in radians as $-2 \pi / 3$

Step 2 ：To convert radians to degrees, we use the formula: Degrees = Radians * (180/\pi)

Step 3 ：Substitute the given radians into the formula: Degrees = $-2 \pi / 3$ * (180/\pi)

Step 4 ：After simplifying, we get the degrees as approximately -119.99999999999999

Step 5 ：Rounding off the above value, we get -120

Step 6 ：Final Answer: The angle $-2 \pi / 3$ in degrees is $\boxed{-120}$ degrees