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Convert degrees to radians

1 degree equals 0.017453293 radians. Enter a value below to convert instantly.

1 °
0.017453293 rad

Multiply the number of degrees by 0.0174532925199 to get radians. How this is calculated

Copy link puts your number after the #, which browsers never send to a server — but the link itself carries it, so anyone you send it to sees the value. Save keeps the unit pair in this browser only; clear it any time from your saved list.

Need the other direction? Convert radian to degree →

Formula

Multiply the number of degrees by 0.0174532925199 to get radians.

Step by step

  1. Start with 1 °.
  2. Multiply by the conversion factor 0.0174532925199.
  3. 1 × 0.0174532925199 = 0.017453293 rad.

Degrees to Radians conversion table

Degrees (°) Radians (rad)
1 0.017453293
5 0.087266463
10 0.17453293
30 0.52359878
45 0.78539816
60 1.0471976
90 1.5707963
180 3.1415927
360 6.2831853

Convert Degree to other angle units

1 ° expressed in every other angle unit on this site.

  • Radian rad 0.017453293
  • Gradian grad 1.1111111
  • Milliradian mrad 17.453293
  • Microradian µrad 17,453.293
  • Arcminute ′ 60
  • Arcsecond ″ 3,600
  • Milliarcsecond mas 3,600,000
  • Revolution rev 0.0027777778
  • Right Angle ∟ 0.011111111
  • Sextant sextant 0.016666667
  • Sign sign 0.033333333
  • Octant octant 0.022222222
  • Point (compass) pt 0.088888889
  • Mil (NATO) mil 17.777778
  • Mil (Soviet) mil (SU) 16.666667
  • Mil (Sweden) streck 17.5
  • Binary Degree brad 0.71111111

About the degree

The degree (°) is a Other unit of angle.

About the radian

The radian (rad) is a SI unit of angle. The angle subtending an arc equal in length to the radius.

Where this conversion is used

Converting degrees to radians comes up when geometry, navigation, engineering drawings, and programming.

Related conversions

Frequently asked questions

How many radians are in a degree?

One degree equals 0.017453293 radians.

How do you convert degrees to radians?

Multiply the number of degrees by 0.0174532925199 to get radians.

What is 1 radian in degrees?

One radian equals 57.29578 degrees.

When would I convert degrees to radians?

This conversion is common when geometry, navigation, engineering drawings, and programming.

Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.