Convert gradians to radians
Gradians to radians. Enter a value to convert, or use the gradians to radians chart further down the page.
1 gradian equals 0.01570796327 radians. Going the other way, 1 radian = 63.66197724 gradians.
How to convert gradians to radians
To convert gradians to radians, multiply the gradian value by 0.01570796327. You can also divide by 63.66197724 to get the same answer.
rad = grad × 0.01570796327
Worked example
Convert 45 grad to radians:
45 grad = 0.7068583471 rad
gradians to radians conversion chart
Use this gradians to radians table for quick reference without typing anything.
| gradians (grad) | radians (rad) |
|---|---|
| 1 grad | 0.01570796327 rad |
| 5 grad | 0.07853981634 rad |
| 10 grad | 0.1570796327 rad |
| 15 grad | 0.235619449 rad |
| 30 grad | 0.471238898 rad |
| 45 grad | 0.7068583471 rad |
| 60 grad | 0.9424777961 rad |
| 90 grad | 1.413716694 rad |
| 180 grad | 2.827433388 rad |
| 270 grad | 4.241150082 rad |
| 360 grad | 5.654866776 rad |
What is a gradian?
A gradian divides a right angle into 100 parts, so a full turn is 400 gradians. It is used in surveying.
What is a radian?
A radian is the angle subtended by an arc equal in length to the radius. A full turn is 2π radians, so 1 rad ≈ 57.2958°.
Frequently asked questions
How many radians are in a gradian?
1 gradians equals 0.01570796327 radians. Going the other way, 1 radians is 63.66197724 gradians.
How do you convert gradians to radians?
To convert gradians to radians, multiply the gradian value by 0.01570796327. You can also divide by 63.66197724 to get the same answer.
What is 10 gradians in radians?
10 gradians equals 0.1570796327 radians. The conversion chart on this page lists the other values people look up most often.
Related angle conversions
Convert gradians to other units
- radians to gradians
- gradians to degrees
- gradians to arcminutes
- gradians to arcseconds
- gradians to revolutions
Convert other units to radians
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