To convert 270 degrees into radians, you can use the conversion factor that π radians is equivalent to 180 degrees.
Here’s the step-by-step process:
- Start with the degree measurement: 270 degrees.
- Use the conversion formula: radians = degrees × (π / 180).
- Insert the degree value into the formula: radians = 270 × (π / 180).
- Simplify the fraction: radians = 270π / 180.
- Reduce the fraction by dividing both the numerator and the denominator by 90: radians = 3π / 2.
Therefore, 270 degrees is equal to 3π/2 radians.