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Radians to Gradians Converter

1 rad = 63.662 grad (radian → gradian)

1 rad = 63.662 grad

1 radian equals 63.662 gradians. To convert radians to gradians, multiply the radian value by 63.662. For quick reference: 1 rad = 63.662 grad, 5 rad = 318.31 grad, 10 rad = 636.62 grad, 100 rad = 6366.2 grad.

How to convert radians to gradians

  1. Take your value

    Start with your value in radians.

  2. Multiply by 63.662

    Multiply the radian value by 63.662. This is the exact conversion factor from radians to gradians.

  3. Read the result

    The product is your value in gradians. For example, 5 rad × 63.662 = 318.31 grad.

Conversion formula

The exact factor from radians to gradians is 63.662.

Gradians = Radians × 63.662

Radians to Gradians conversion table

Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.

Conversion table from radians to gradians
Radians (rad)Gradians (grad)
0.1 rad6.3662 grad
0.25 rad15.915 grad
0.5 rad31.831 grad
1 rad63.662 grad
2 rad127.32 grad
3 rad190.99 grad
4 rad254.65 grad
5 rad318.31 grad
6 rad381.97 grad
7 rad445.63 grad
8 rad509.3 grad
9 rad572.96 grad
10 rad636.62 grad
11 rad700.28 grad
12 rad763.94 grad
13 rad827.61 grad
14 rad891.27 grad
15 rad954.93 grad
16 rad1018.6 grad
18 rad1145.9 grad
20 rad1273.2 grad
22 rad1400.6 grad
24 rad1527.9 grad
25 rad1591.5 grad
28 rad1782.5 grad
30 rad1909.9 grad
32 rad2037.2 grad
36 rad2291.8 grad
40 rad2546.5 grad
45 rad2864.8 grad
48 rad3055.8 grad
50 rad3183.1 grad
60 rad3819.7 grad
70 rad4456.3 grad
75 rad4774.6 grad
80 rad5093 grad
90 rad5729.6 grad
100 rad6366.2 grad
125 rad7957.7 grad
150 rad9549.3 grad
200 rad12732 grad
250 rad15915 grad
300 rad19099 grad
400 rad25465 grad
500 rad31831 grad
600 rad38197 grad
750 rad47746 grad
800 rad50930 grad
900 rad57296 grad
1000 rad63662 grad

Real-world reference

A right angle is π/2 radians, about 1.5708 rad. A full circle is 2π radians, about 6.2832 rad. In gradians, that gives you: 1 rad = 63.662 grad, 10 rad = 636.62 grad, 100 rad = 6366.2 grad.

Frequently asked questions

How many gradians are in 1 radian?
1 radian equals 63.662 gradians.
How do I convert radians to gradians?
Multiply the radian value by 63.662. So x rad × 63.662 = the equivalent in grad.
What is 5 radians in gradians?
5 radians equals 318.31 gradians.
What is 10 radians in gradians?
10 radians equals 636.62 gradians.
What is 100 radians in gradians?
100 radians equals 6366.2 gradians.
How do I convert back from gradians to radians?
Multiply the gradian value by 0.015708. For example, 1 grad = 0.015708 rad.
Is the radian bigger than the gradian?
Yes. 1 radian is larger than 1 gradian — specifically 63.662 times larger.
Are these conversion factors exact?
The factor is derived directly from the SI definitions of radian and gradian; the displayed value is rounded for readability, and the browser computes using IEEE 754 double-precision arithmetic.

About the radian and the gradian

The radian

The radian (rad) is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One full turn equals exactly 2π radians (≈6.2832 rad). It is the standard unit in mathematics, physics, and engineering calculations.

The gradian

The gradian (grad), also called the gon, divides a full rotation into 400 equal parts, making a right angle exactly 100 gradians. It was introduced with the metric system for surveying and civil engineering, where its decimal relationship to a right angle simplifies calculations.

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