Radians to Degrees Converter

Multiply radians by 180/π — about 57.2958 — to get degrees. The result is also shown in degrees, minutes and seconds.

1 rad = 57.2957795131°

Convert degrees to radians instead

Formula

1 rad = 57.2957795131 °

degrees = radians × 57.2957795131

Worked example

Convert 2.5 radians to degrees

  1. Multiply by 57.2957795131
  2. 2.5 × 57.2957795131 = 143.239

2.5 rad = 143.239 °

Good to know

One radian is the angle at the center of a circle when the arc length equals the radius — about 57.3°. For multiples of π, replace π with 180°: 3π/4 rad = 3 × 180° ÷ 4 = 135°. The scientific calculator accepts pi in expressions if you need to evaluate one.

Conversion table

Radians to degrees conversion table
Radians (rad)Degrees (°)
0.15.72958
0.528.6479
157.2958
1.585.9437
2114.592
2.5143.239
3171.887
3.14159180
4229.183
5286.479
6343.775
6.28319360

About these units

Radian (rad)
The SI unit of angle: the angle whose arc equals the radius. A full turn is 2π ≈ 6.2832 rad.
Degree (°)
One 360th of a full turn. Subdivided into 60 arcminutes of 60 arcseconds each.