How many radians are in 1 gradian?

1 gon equals 0.01570796327 rad.

How do I convert gradians to radians?

Multiply the value in gon by the conversion factor. For example, 10 gon = 0.1570796327 rad. Use our calculator above for instant results.

Is the gradians to radians conversion exact?

This conversion uses NIST SP 811 factors with 10-digit precision, which is more than sufficient for all practical purposes.

Can I convert gradians to radians offline?

Yes! OmniConvert runs entirely in your browser — no internet connection needed after the page loads. Your data never leaves your device, ensuring complete privacy.

What is the difference between gradians and radians?

Gradians (gon) and Radians (rad) are both units of angle but belong to different measurement systems. 1 gon = 0.01570796327 rad. Use the converter above to switch between them instantly.

Gradians to Radians (gon → rad) — Free Online Converter

gon → rad Reference Table

gon	rad
0.001 gon	0.00001570796327 rad
0.002 gon	0.00003141592654 rad
0.003 gon	0.0000471238898 rad
0.004 gon	0.00006283185307 rad
0.005 gon	0.00007853981634 rad
0.006 gon	0.00009424777961 rad
0.007 gon	0.0001099557429 rad
0.008 gon	0.0001256637061 rad
0.009 gon	0.0001413716694 rad
0.01 gon	0.0001570796327 rad
0.02 gon	0.0003141592654 rad
0.03 gon	0.000471238898 rad
0.04 gon	0.0006283185307 rad
0.05 gon	0.0007853981634 rad
0.06 gon	0.0009424777961 rad
0.07 gon	0.001099557429 rad
0.08 gon	0.001256637061 rad
0.09 gon	0.001413716694 rad
0.1 gon	0.001570796327 rad
0.2 gon	0.003141592654 rad
0.3 gon	0.00471238898 rad
0.4 gon	0.006283185307 rad
0.5 gon	0.007853981634 rad
0.6 gon	0.009424777961 rad
0.7 gon	0.01099557429 rad
0.8 gon	0.01256637061 rad
0.9 gon	0.01413716694 rad
1 gon	0.01570796327 rad
1.5 gon	0.0235619449 rad
2 gon	0.03141592654 rad
2.5 gon	0.03926990817 rad
3 gon	0.0471238898 rad
3.5 gon	0.05497787144 rad
4 gon	0.06283185307 rad
4.5 gon	0.07068583471 rad
5 gon	0.07853981634 rad
5.5 gon	0.08639379797 rad
6 gon	0.09424777961 rad
6.5 gon	0.1021017612 rad
7 gon	0.1099557429 rad
7.5 gon	0.1178097245 rad
8 gon	0.1256637061 rad
8.5 gon	0.1335176878 rad
9 gon	0.1413716694 rad
9.5 gon	0.149225651 rad
10 gon	0.1570796327 rad
11 gon	0.1727875959 rad
12 gon	0.1884955592 rad
13 gon	0.2042035225 rad
14 gon	0.2199114858 rad
15 gon	0.235619449 rad
16 gon	0.2513274123 rad
17 gon	0.2670353756 rad
18 gon	0.2827433388 rad
19 gon	0.2984513021 rad
20 gon	0.3141592654 rad
25 gon	0.3926990817 rad
30 gon	0.471238898 rad
35 gon	0.5497787144 rad
40 gon	0.6283185307 rad
45 gon	0.7068583471 rad
50 gon	0.7853981634 rad
55 gon	0.8639379797 rad
60 gon	0.9424777961 rad
65 gon	1.021017612 rad
70 gon	1.099557429 rad
75 gon	1.178097245 rad
80 gon	1.256637061 rad
85 gon	1.335176878 rad
90 gon	1.413716694 rad
95 gon	1.49225651 rad
100 gon	1.570796327 rad
120 gon	1.884955592 rad
125 gon	1.963495408 rad
130 gon	2.042035225 rad
140 gon	2.199114858 rad
150 gon	2.35619449 rad
160 gon	2.513274123 rad
175 gon	2.748893572 rad
180 gon	2.827433388 rad
200 gon	3.141592654 rad
225 gon	3.534291735 rad
250 gon	3.926990817 rad
275 gon	4.319689899 rad
300 gon	4.71238898 rad
350 gon	5.497787144 rad
400 gon	6.283185307 rad
450 gon	7.068583471 rad
500 gon	7.853981634 rad
600 gon	9.424777961 rad
700 gon	10.99557429 rad
750 gon	11.78097245 rad
800 gon	12.56637061 rad
900 gon	14.13716694 rad
1000 gon	15.70796327 rad
1200 gon	18.84955592 rad
1250 gon	19.63495408 rad
1500 gon	23.5619449 rad
1750 gon	27.48893572 rad
2000 gon	31.41592654 rad
2500 gon	39.26990817 rad
3000 gon	47.1238898 rad
4000 gon	62.83185307 rad
4500 gon	70.68583471 rad
5000 gon	78.53981634 rad
6000 gon	94.24777961 rad
7000 gon	109.9557429 rad
7500 gon	117.8097245 rad
8000 gon	125.6637061 rad
9000 gon	141.3716694 rad
10000 gon	157.0796327 rad
15000 gon	235.619449 rad
20000 gon	314.1592654 rad
25000 gon	392.6990817 rad
50000 gon	785.3981634 rad
75000 gon	1178.097245 rad
100000 gon	1570.796327 rad

Why Convert Gradians to Radians?

Converting between gradians (gon) and radians (rad) is one of the most common angle conversions. Whether for engineering, cooking, travel, or science, knowing how to quickly convert gon to rad saves time and prevents errors.

Angle conversions between gon and rad are fundamental in geometry, astronomy, and navigation. Engineers and architects convert between degrees and radians for structural calculations and trigonometric functions. In astronomy, precise angle measurements are needed to track celestial bodies and calculate distances in space. Navigational tools, from simple compasses to complex GPS systems, rely on accurate angular data to plot courses. A small error in angle conversion can lead to significant deviations over long distances, causing bridges to misalign or ships to miss their destinations.

How to Convert Gradians to Radians

To convert gradians to radians, use the following formula:

rad = gon × 0.01570796327

Example: 1 gon = 0.01570796327 rad

For example, 5 gon = 0.07853981634 rad, 10 gon = 0.1570796327 rad, and 100 gon = 1.570796327 rad. For larger values, 1000 gon = 15.70796327 rad. Conversely, 1 rad = 63.66197724 gon. Our calculator above performs this conversion instantly with full precision — no rounding errors.

Common Mistakes to Avoid

Radians vs Degrees: calculators often default to Radians; check mode.
Gradians: a Gradian is not a Degree (100 grads = 90 degrees).
Modulus 360: 370 degrees is physically same as 10 degrees, but mathematically distinct.

Pro Tips

Carpentry: 45 degrees is the classic miter cut for corners.
Triangles: Angles in a triangle always add up to 180 degrees.
Sun angle: Impacts solar panel efficiency; tilt towards equator.

What is a Gradian?

1/400 of a turn. Also known as gon.

Surveying.

What is a Radian?

The standard SI unit of angular measure. 1 rad ≈ 57.3 degrees.

Mathematics and physics.

Gradians → Radians

Gradians to Radians Formula