Degrees to Radians Converter

Multiply degrees by π/180 to get radians. The converter also shows the answer as a fraction of π where it is one (90° = π/2).

90° = 1.5707963268 rad

Convert radians to degrees instead

Formula

1 ° = 0.0174532925 rad

radians = degrees ÷ 57.2957795131

Worked example

Convert 45 degrees to radians

  1. Divide by 57.2957795131
  2. 45 ÷ 57.2957795131 = 0.785398

45 ° = 0.785398 rad

Good to know

Radians are the natural unit for angles in mathematics: calculus formulas and most programming functions (such as Math.sin in JavaScript or Python’s math.sin) expect radians. Feeding degrees into them is a very common bug — sin(90) in radians is about 0.894, not 1.

Conversion table

Degrees to radians conversion table
Degrees (°)Radians (rad)
10.0174533
150.261799
300.523599
450.785398
601.0472
901.5708
1202.0944
1352.35619
1803.14159
2704.71239
3606.28319

About these units

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