How the conversion works
1 rad × 180/π = 57.2957795°. The quick answer is rounded for readability; use the live calculator below for another value or more precision.
Radians to Degrees Converter
Convert radians to degrees with the 180/π relationship, a quick 1 rad reference and all angle equivalents.
Quick reference
57.2957795°
1 radian → degrees
When this is useful
Use this conversion when a specification, drawing, label or calculation expresses the same physical quantity in radian and degrees. The live parent converter keeps the source, target and broader equivalent-unit context together.
Quick comparison table
Compare the current answer with nearby or reverse values from the same converter family. Open any row to keep the units preselected and change the number.
| Conversion | Answer | Open |
|---|---|---|
| 1 radian → degrees | 57.2957795° | Current |
| 1 degree → radians | 0.0174532925 rad | View → |
Convert another value
Editable live calculator
Change any input — the result updates immediately
No hidden assumptions. Inputs, units and the working stay visible so you can check the calculation.
Calculated result
57.29578 °
Conversion factor: 1 rad = 57.29577951 °
Exact circle relationship: 360° = 2π rad = 400 grad = 1 turn; 1° = 60 arcmin = 3,600 arcsec.
Same value in every supported unit
Radian
1 rad
Milliradian
1,000 mrad
Degree
57.29578 °
Gradian / gon
63.661977 grad
Turn / revolution
0.159155 turn
Arcminute
3,437.746771 arcmin
Arcsecond
206,264.806247 arcsec
Show the working
- 1. Convert 1 rad to the rad base: 1 × 1 = 1 rad.
- 2. Convert from rad to °: 1 ÷ 0.01745329 = 57.29578 °.
- 3. Direct factor check: 1 × 57.29577951 = 57.29578 °.
This converts angular units only. Degrees-minutes-seconds coordinate notation and bearing/quadrant formats are separate representation tasks.
More actions
Shared links reopen these inputs. Recent and saved calculations stay in this browser unless you clear site data.
A quick note before you use the number
Degrees-minutes-seconds coordinates and bearings contain multiple fields/sign conventions and are not parsed as one number here.
Open the full Angle Converter — Degrees, Radians, Gradians, Turns, Arcmin & Arcsec