To convert radians to degrees, you can use the following formula:
Degrees = Radians × (180° / π)
Let’s apply this formula to convert 2π/3 radians to degrees:
Step 1: Identify the radian measure. In this case, it is 2π/3.
Step 2: Multiply the radian measure by (180° / π):
2π/3 × (180° / π)
Step 3: Simplify the expression. The π in the numerator and denominator cancels out:
2/3 × 180°
Step 4: Perform the multiplication:
2/3 × 180° = 120°
Therefore, 2π/3 radians is equal to 120 degrees.