To convert radians to degrees, you can use the formula:
Degrees = Radians × (180/π)
For 7π/4 radians, you can substitute this value into the formula:
Degrees = (7π/4) × (180/π)Now, we can simplify:
- The π in the numerator and the denominator will cancel out.
- This leaves us with:
Degrees = 7 × (180/4) - Simplifying further:
180/4 = 45 - So, we multiply:
Degrees = 7 × 45 = 315
Therefore, 7π/4 radians is equal to 315 degrees.