How the conversion works
1° × π/180 = 0.0174532925 rad. The quick answer is rounded for readability; use the live calculator below for another value or more precision.
Degrees to Radians Converter
Convert degrees to radians with the π/180 relationship, a quick 1° reference and all angle equivalents.
Quick reference
0.0174532925 rad
1 degree → radians
When this is useful
Use this conversion when a specification, drawing, label or calculation expresses the same physical quantity in degree and radians. 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 degree → radians | 0.0174532925 rad | Current |
| 1 radian → degrees | 57.2957795° | 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
0.017453 rad
Conversion factor: 1 ° = 0.01745329 rad
Exact circle relationship: 360° = 2π rad = 400 grad = 1 turn; 1° = 60 arcmin = 3,600 arcsec.
Same value in every supported unit
Radian
0.017453 rad
Milliradian
17.453293 mrad
Degree
1 °
Gradian / gon
1.111111 grad
Turn / revolution
0.002778 turn
Arcminute
60 arcmin
Arcsecond
3,600 arcsec
Show the working
- 1. Convert 1 ° to the rad base: 1 × 0.01745329 = 0.01745329 rad.
- 2. Convert from rad to rad: 0.01745329 ÷ 1 = 0.017453 rad.
- 3. Direct factor check: 1 × 0.01745329 = 0.017453 rad.
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