Degrees to Radians
A degree divides a full circle into 360 parts, the everyday unit for angles, compass headings, and geographic coordinates. The radian is the SI unit of angle, defined by an arc length equal to the circle's radius; a full circle is 2π radians. 1 deg equals ≈0.0174533 rad, so converting between them is a matter of multiplying by that fixed factor — type any value into the converter below and both sides update instantly as you type.
Both units belong to angle, measured here against angle's base unit (rad) — every other angle unit on this site converts through that same reference point, which is why the table below can also be read as a quick cross-check against nearby values.
Formula
rad = deg × ≈0.0174533
deg = rad × ≈57.2958
Worked example: 5 deg × ≈0.0174533 = ≈0.0872665 rad.
Conversion table
| Degree (deg) | Radian (rad) |
|---|---|
| 1 deg | ≈0.0174533 rad |
| 2 deg | ≈0.0349066 rad |
| 3 deg | ≈0.0523599 rad |
| 5 deg | ≈0.0872665 rad |
| 10 deg | ≈0.174533 rad |
| 20 deg | ≈0.349066 rad |
| 25 deg | ≈0.436332 rad |
| 50 deg | ≈0.872665 rad |
| 100 deg | ≈1.74533 rad |
| 250 deg | ≈4.36332 rad |
| 500 deg | ≈8.72665 rad |
| 1,000 deg | ≈17.4533 rad |
Frequently asked
- How many Radians in a degree?
- 1 deg equals ≈0.0174533 rad.
- How do I convert Degrees to Radians?
- Multiply the value in deg by ≈0.0174533 to get rad. The converter above does this instantly as you type.
- Is the conversion exact?
- Yes — Degree and Radian are both defined by a fixed conversion factor to angle's base unit (rad), so the result shown is exact to the precision displayed, not an approximation.