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Convert gradians to radians

Gradians to radians. Enter a value to convert, or use the gradians to radians chart further down the page.

1 grad = 0.01570796327 rad

1 gradian equals 0.01570796327 radians. Going the other way, 1 radian = 63.66197724 gradians.

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Check this before you rely on it. This converter is provided free and without warranty, and its results are not professional advice.

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 to radians conversion table
gradians (grad)radians (rad)
1 grad0.01570796327 rad
5 grad0.07853981634 rad
10 grad0.1570796327 rad
15 grad0.235619449 rad
30 grad0.471238898 rad
45 grad0.7068583471 rad
60 grad0.9424777961 rad
90 grad1.413716694 rad
180 grad2.827433388 rad
270 grad4.241150082 rad
360 grad5.654866776 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.

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