Radians to Degrees
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. A degree divides a full circle into 360 parts, the everyday unit for angles, compass headings, and geographic coordinates. 1 rad equals ≈57.2958 deg, 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
deg = rad × ≈57.2958
rad = deg × ≈0.0174533
Worked example: 5 rad × ≈57.2958 = ≈286.479 deg.
Conversion table
| Radian (rad) | Degree (deg) |
|---|---|
| 1 rad | ≈57.2958 deg |
| 2 rad | ≈114.592 deg |
| 3 rad | ≈171.887 deg |
| 5 rad | ≈286.479 deg |
| 10 rad | ≈572.958 deg |
| 20 rad | ≈1,145.92 deg |
| 25 rad | ≈1,432.39 deg |
| 50 rad | ≈2,864.79 deg |
| 100 rad | ≈5,729.58 deg |
| 250 rad | ≈14,323.9 deg |
| 500 rad | ≈28,647.9 deg |
| 1,000 rad | ≈57,295.8 deg |
Frequently asked
- How many Degrees in a radian?
- 1 rad equals ≈57.2958 deg.
- How do I convert Radians to Degrees?
- Multiply the value in rad by ≈57.2958 to get deg. The converter above does this instantly as you type.
- Is the conversion exact?
- Yes — Radian and Degree 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.