Radian to Degree Converter
Converts radian to degree (rad to °) and back. The conversion factor is shown below every result.
57.29578
°
How to Convert Radian to Degree
° = rad × 57.2957795131
What Is a Radian?
A full circle equals exactly 2π radians, which defines the radian (rad), the SI angle unit.
What Is a Degree?
A degree (°) is 1/360 of a full circle, the everyday unit for measuring angles.
rad = ° × 0.0174532925
Common Radian to Degree Reference Points
Real-world reference values for quick sanity checks.
| Item | Radian (rad) | Degree (approx.) |
|---|---|---|
| A right angle | 1.5708 rad | 90° |
| A full circle | 6.2832 rad | 360° |
| Reference values are illustrative approximations for common items, not measured specifications. | ||
Radian to Degree Conversion Table
| Radian (rad) | Degree (°) |
|---|---|
| 0.5 rad | 28.64789 ° |
| 1 rad | 57.29578 ° |
| 1.5708 rad | 90.00021 ° |
| 2 rad | 114.591559 ° |
| 3.1416 rad | 180.000421 ° |
| 4.7124 rad | 270.000631 ° |
| 6.2832 rad | 360.000842 ° |
| Source: NIST SP 811, Appendix B (2π radians = 360 degrees, by definition) | |
Frequently Asked Questions
How do I convert radians to degrees?
Multiply the radian value by 180/π (approximately 57.2957795131). For example, 1 rad × 57.2957795131 = 57.296°.
How many degrees is 1 radian?
About 57.296 degrees, slightly less than a right angle's 90 degrees.
What is pi radians in degrees?
Exactly 180 degrees, since a full circle is 2π radians = 360 degrees, so π radians is half a circle, or 180 degrees.
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Recommended
A good measuring tool marked in both rad and ° removes the guesswork at the point of use.