Gradian to Radian (grad to rad)

Convert grad to radAngle converter

One gradian equals 0.01570796 rad, so to convert gradians to radians you multiply the value by 0.01570796. A gradian is smaller than a radian — going the other way, 1 rad = 63.662 grad. For example, 10 grad = 0.15707958 rad and 50 grad = 0.78539788 rad.

0.01570796Click to copy

1 grad = 0.01570796 rad

Gradian to Radian formula

1 Gradian = 0.01570796 rad

Worked examples

  • 25 grad = 0.39269894 rad
  • 100 grad = 1.570796 rad

Gradian to Radian conversion table

Gradian (grad)Radian (rad)
10.01570796
20.03141592
30.04712387
50.07853979
80.12566366
100.15707958
120.18849549
150.23561936
200.31415915
250.39269894
500.78539788
1001.570796
2503.926989
5007.853979
100015.707958

Frequently asked questions

How many radians are in one gradian?

One gradian equals 0.01570796 radians (rad).

How many gradians are in one radian?

One radian equals 63.662 gradians (grad).

How do you convert gradians to radians?

1 Gradian = 0.01570796 rad. Use the calculator above for any value.

What is 5 grad in rad?

5 grad = 0.07853979 rad.

What is 100 grad in rad?

100 grad = 1.570796 rad.

What is 10 grad in rad?

10 grad = 0.15707958 rad.

What is 20 grad in rad?

20 grad = 0.31415915 rad.

Is a gradian bigger than a radian?

No. A gradian is smaller — one gradian equals 0.01570796 radians, while one radian equals 63.662 gradians.

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