Angle

Convert radians to gradians

1 radian equals 63.661977 gradians. Enter a value below to convert instantly.

1 rad
63.661977 grad

Multiply the number of radians by 63.6619772368 to get gradians. 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 gradian to radian →

Formula

Multiply the number of radians by 63.6619772368 to get gradians.

Step by step

  1. Start with 1 rad.
  2. Multiply by the conversion factor 63.6619772368.
  3. 1 × 63.6619772368 = 63.661977 grad.

Radians to Gradians conversion table

Conversion table from Radians to Gradians
Radians (rad) Gradians (grad)
1 63.661977
5 318.30989
10 636.61977
30 1,909.8593
45 2,864.789
60 3,819.7186
90 5,729.578
180 11,459.156
360 22,918.312

Convert Radian to other angle units

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

  • Degree ° 57.29578
  • Gradian grad 63.661977
  • Milliradian mrad 1,000
  • Microradian µrad 1,000,000
  • Arcminute 3,437.7468
  • Arcsecond 206,264.81
  • Milliarcsecond mas 206,264,810
  • Revolution rev 0.15915494
  • Right Angle 0.63661977
  • Sextant sextant 0.95492966
  • Sign sign 1.9098593
  • Octant octant 1.2732395
  • Point (compass) pt 5.0929582
  • Mil (NATO) mil 1,018.5916
  • Mil (Soviet) mil (SU) 954.92966
  • Mil (Sweden) streck 1,002.6761
  • Binary Degree brad 40.743665

About the radian

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

About the gradian

The gradian (grad) is a Other unit of angle. A right angle divided into 100 parts — used in European surveying.

Where this conversion is used

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

Related conversions

Frequently asked questions

How many gradians are in a radian?

One radian equals 63.661977 gradians.

How do you convert radians to gradians?

Multiply the number of radians by 63.6619772368 to get gradians.

What is 1 gradian in radians?

One gradian equals 0.015707963 radians.

When would I convert radians to gradians?

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.