degree to radian (° → rad)
Unit ConverterConverting degree (°) to radian (rad), 1° is about 0.017453rad.
What is it
degree is a angle unit, as is radian. Their relation is fixed: 1° = 0.017453rad.
rad = ° × π ÷ 180 (≈ ° × 0.017453)
How to use
- 1Enter the degree (°) value.
- 2See the radian (rad) result instantly.
- 3Switch units to convert again if needed.
Reference
| ° | rad |
|---|---|
| 30 | 0.523599 |
| 45 | 0.785398 |
| 60 | 1.047198 |
| 90 | 1.570796 |
| 180 | 3.141593 |
| 360 | 6.283185 |
Sources & standards
FAQ
How many rad is 1°?
1° is about 0.017453rad.
How do I convert rad back to °?
Compute ° = rad ÷ 0.017453.
How many rad is 10°?
10° is about 0.174533rad.
How many radians is 180 degrees?
180° = π rad (about 3.141593 rad). 90° is π/2 and 360° is 2π rad.
Why do mathematics and programming use radians?
A radian is arc length divided by radius, a dimensionless ratio, so calculus identities like sin′ = cos hold without extra factors. Trigonometric functions in programming languages expect radians.
Is my input sent to a server?
No. Every conversion runs instantly inside your browser; the values you enter are never sent to a server or stored.