Gradians to Radians

Convert gradians (grad) to radians (rad). Type in either box; the other updates as you go.

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1 grad = 0.015707963 rad

1 gradian equals0.01570796327 rad
1 radian equals63.66197724 grad
Formularad = grad × 0.01570796327

How to convert gradians to radians

To convert gradians to radians, multiply the number of gradians by 0.01570796327.

rad = grad × 0.01570796327

Example

Convert 100 gradians to radians:

100 grad × 0.01570796327 = 1.5708 rad

Gradian to radian conversion chart

Gradians to radians
Gradians (grad)Radians (rad)
1 grad0.01570796 rad
2 grad0.03141593 rad
3 grad0.04712389 rad
4 grad0.06283185 rad
5 grad0.07853982 rad
6 grad0.09424778 rad
7 grad0.1099557 rad
8 grad0.1256637 rad
9 grad0.1413717 rad
10 grad0.1570796 rad
12 grad0.1884956 rad
15 grad0.2356194 rad
20 grad0.3141593 rad
25 grad0.3926991 rad
30 grad0.4712389 rad
40 grad0.6283185 rad
50 grad0.7853982 rad
60 grad0.9424778 rad
70 grad1.099557 rad
75 grad1.178097 rad
80 grad1.256637 rad
90 grad1.413717 rad
100 grad1.570796 rad
150 grad2.356194 rad
200 grad3.141593 rad
250 grad3.926991 rad
500 grad7.853982 rad
1,000 grad15.70796 rad

Going the other way? See the radians to gradians chart.

About the units

Gradian (grad)

A gradian is 1/400 of a full turn, so a right angle is exactly 100 gradians. Surveyors in some countries use it.

Radian (rad)

A radian is the angle that cuts off an arc as long as the radius. A full turn is 2π radians, so one radian is about 57.3°.

Frequently asked questions

How many radians are in a gradian?

There are 0.01570796327 radians in a gradian.

How many gradians are in a radian?

There are 63.66197724 gradians in a radian.

How do you convert gradians to radians?

To convert gradians to radians, multiply the number of gradians by 0.01570796327.

What is 100 gradians in radians?

100 gradians equals 1.5708 radians.

Convert between degrees, radians, gradians, arcminutes and arcseconds. Open the angle converter to see a value in every unit at once.