Degrees to Radians Converter
Convert degree to radian instantly. 1 ° = 0.01745329252 rad, worked steps and a full reference table.
How to use it
- Type the value in degree — the result updates as you type.
- Use Swap to flip the direction, or change either dropdown to convert between any two units.
- Click the result to copy it. The URL updates too, so you can bookmark or share the exact conversion.
Examples
| 1 ° | 0.01745329252 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 100 ° | 1.745329252 rad |
One degree equals 0.017453293 radians (rad). To convert degrees to radians, multiply by 0.017453293; to go back the other way, multiply by 57.29578 instead.
The converter above does it as you type and shows the working underneath, so you can check the arithmetic rather than take the number on trust.
What degrees and radians actually measure
Degree (°) — A degree is 1/360 of a full turn, a division inherited from Babylonian astronomy. Geometry, navigation and construction.
Radian (rad) — A radian is the angle where the arc equals the radius. A full turn is 2π radians. Calculus, physics and programming — every trig function assumes radians.
Degrees to Radians conversion table
The most common values, worked out in advance. Anything not listed can be typed straight into the converter.
| ° | rad |
|---|---|
| 1 ° | 0.017453293 rad |
| 2 ° | 0.034906585 rad |
| 5 ° | 0.087266463 rad |
| 10 ° | 0.17453293 rad |
| 25 ° | 0.43633231 rad |
| 50 ° | 0.87266463 rad |
| 100 ° | 1.7453293 rad |
How to convert degrees to radians by hand
Multiply the number of degrees by 0.017453293.
For example, 25 ° × 0.017453293 = 0.43633231 rad.
Going the other way, divide by 0.017453293 — or multiply by 57.29578, which is the same thing and easier to do in your head.
Everything runs in your browser
There is no server involved in the calculation. The numbers you type never leave your device, nothing is logged, and the page keeps working with no connection once it has loaded. That is not a marketing line — it is simply how the tool is built, because a calculation like this has no reason to touch a network.
Questions people ask
How many rad are in 1 °?
1 ° equals exactly 0.01745329252 rad. Multiply any value in degree by 0.01745329252 to get radian.
Is anything uploaded to a server?
No. The whole calculation happens in your browser. Nothing is sent anywhere, and the page keeps working offline once loaded.
Last updated 18 August 2026