Degrees to Radians converter (° to rad)
Convert Degrees (°) to Radians (rad) with this free calculator. Type a value, press Convert, and the page applies the same factor shown in the formula below — no rounded shortcut, and nothing is stored on a server.
How to convert Degrees to Radians
Multiply degrees by π/180 to convert to radians.
rad = deg × π/180
Multiply by π/180:
Example: Convert 180° to radians:
180 × π/180 = π = 3.14159265 rad
What is a Degrees?
The Degrees (°) is the starting or target unit on this page. Use the calculator above to convert values without looking up the factor by hand.
What is a Radians?
The Radians (rad) is the starting or target unit on this page. Use the calculator above to convert values without looking up the factor by hand.
This page converts number systems from Degrees into Radians. One ° equals 0.017453293 rad.
Degrees to Radians conversion table
Common ° values and the matching rad result, calculated with the same factor as the widget. Highlight a nearby row if you want a quick check without entering a number.
| Degrees (°) | Radians (rad) |
|---|---|
| 0 ° | 0 rad |
| 30 ° | 0.523598776 rad |
| 45 ° | 0.785398163 rad |
| 60 ° | 1.047197551 rad |
| 90 ° | 1.570796327 rad |
| 120 ° | 2.094395102 rad |
| 180 ° | 3.141592654 rad |
| 270 ° | 4.71238898 rad |
| 360 ° | 6.283185307 rad |
How this calculator works
The form on this page is a Degrees-to-Radians converter. After you enter a number, JavaScript multiplies or rearranges it with the published conversion factor and writes the rad result in the output box. The step-by-step panel repeats the arithmetic so you can copy it into homework or a spreadsheet.
Reviewed by Hamsen, founder of GigaTables and a biology engineer. See the about page for how formulas are checked before a tool is published.
FAQ
How many rad are in 1 °?
1 ° = 0.017453293 rad.
How do I convert Degrees to Radians?
Multiply by π/180:
Is this ° to rad converter free?
Yes. GigaTables calculators are free to use in a browser. You do not need an account, and the values you type are not uploaded.