Gradian to Radian Converter

1 Gradian = 0.01570796 Radians. To convert Gradians to Radians, multiply by 0.01570796.

Result updates as you type
Recent: 1 Gradian = 0.01570796 Radian

Formula

To convert Gradians to Radians, multiply the value by 0.01570796. One Gradian equals 0.01570796 Radians.

rad = grad × 0.01570796

For a quick mental estimate, divide Gradians by about 64 — precisely, one Radian is 63.662 Gradians.

Worked examples

  • 1 Gradian = 0.01570796 Radians
  • 5 Gradians = 0.07853979 Radians
  • 10 Gradians = 0.15707958 Radians
  • 100 Gradians = 1.5708 Radians

Gradians to Radians table

Gradians (grad) Radians (rad)
1 0.01570796
2 0.03141592
3 0.04712387
4 0.06283183
5 0.07853979
10 0.15707958
25 0.39269894
50 0.78539788
100 1.5708
250 3.927
500 7.854
1000 15.708

About Gradian and Radian

Both the Gradian (grad) and the Radian (rad) measure angle. One Gradian is equal to 0.01570796 Radians, so you can convert any measurement by multiplying by 0.01570796. The calculator above updates instantly, and the reference table lists common Gradian-to-Radian values for quick lookups.

Unit definitions

Gradian (grad)
The Gradian (grad) is a unit of angle equal to 0.9 Degrees.
Radian (rad)
The Radian (rad) is a unit of angle equal to 57.2958 Degrees.

Frequently asked questions

How do you convert Gradians to Radians?
Multiply the number of Gradians by 0.01570796. For example, 1 Gradian × 0.01570796 = 0.01570796 Radians.
How many Radians are in a Gradian?
There are 0.01570796 Radians in one Gradian.
What is 10 Gradians in Radians?
10 Gradians is equal to 0.15707958 Radians.
How do you convert Radians back to Gradians?
Multiply the number of Radians by 63.662 to get Gradians. One Radian equals 63.662 Gradians.