How angle conversion works
Every angle unit has a fixed ratio to the radian. The value is first converted to radians, then into the target unit.
Common values
| Value (deg) | Result |
|---|---|
| 0.1 deg | 0.00174533 rad |
| 0.25 deg | 0.00436332 rad |
| 0.5 deg | 0.00872665 rad |
| 1 deg | 0.0174533 rad |
| 1.5 deg | 0.0261799 rad |
| 2 deg | 0.0349066 rad |
| 3 deg | 0.0523599 rad |
| 5 deg | 0.0872665 rad |
| 10 deg | 0.174533 rad |
More detail
Common conversions
1 radian ≈ 57.2958°. A full turn is 360° = 2π rad = 400 grad, so 1° = π/180 rad and 1 grad = π/200 rad.
Radian anchors. π radians is 180°, so 1 radian ≈ 57.3°. A right angle is π/2 rad, and a full turn is 2π ≈ 6.283 rad.
Frequently asked questions
How many radians is 1 degree?
1° = π/180 ≈ 0.017453 rad. Enter your value above for the exact conversion.
What is a gradian and how does it relate to degrees?
A gradian (grad) splits a right angle into 100 parts instead of 90, so a full circle is 400 grad. 1 grad = 0.9° and 1° ≈ 1.1111 grad (10/9).
How do I convert radians to degrees?
Multiply by 180/π ≈ 57.2958. For example, 1 rad ≈ 57.2958°, and 2π rad = 360°.
Why does math use radians instead of degrees?
A radian is defined as the angle where arc length equals the radius, which makes calculus identities like d/dx sin x = cos x hold true. Degrees (360 per turn) are just a human convention.