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Convert Radian to Gradian

Use this free converter to change radians (rad) into gradians (grad). Radian and gradian both measure angle. As a quick reference, 1 rad equals 63.661977 grad, and 1 grad equals 0.015707963 rad.

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Gradian (grad)
63.661977

1 rad = 63.661977 grad

Angle conversion table

RadianGradian
0.010.63661977
0.16.3661977
0.531.830989
163.661977
2127.32395
3190.98593
5318.30989
10636.61977
201273.2395
251591.5494
503183.0989
1006366.1977
1,00063661.977

How to convert Radian to Gradian

Multiply the radian value by 63.661977 to get gradians.

  1. Enter the number of radians you want to convert.
  2. The converter instantly shows the equivalent value in gradians.
  3. Worked example: 15 rad × 63.661977 = 954.92966 grad.
  4. Use the swap button to reverse the conversion (gradian to radian).

About these units

Radian (rad)

Definition
A radian (rad) is the SI angle for which the arc length equals the radius; a full circle is 2π radians.
History
The concept was formalised in the 19th century and named in 1873.
Current use
Radians are the standard angle unit in mathematics and physics.

Gradian (grad)

Definition
A gradian (grad) divides a right angle into 100 parts, so a full circle is 400 gradians.
History
It was introduced in France around the time of the metric system to decimalise angles.
Current use
Gradians are used in some surveying and civil-engineering contexts.

Frequently asked questions

How many gradians are in a radian?

There are 63.661977 grad in 1 rad. To convert, multiply the number of radians by 63.661977.

How do I convert radians to gradians?

Multiply the radian value by 63.661977 to get gradians. For example, 10 rad = 636.61977 grad.

Is this radian-to-gradian converter free?

Yes. This converter is completely free, runs entirely in your browser, and requires no sign-up. Your inputs never leave your device.

Convert Radian to other angle units

Unit1 Radian equals
Degree (°)57.29578 °
Gradian (grad)63.661977 grad
Arcminute (')3437.7468 '
Arcsecond (")206264.81 "
Turn (turn)0.15915494 turn

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