How do I convert radians to gradians?

Multiply the value in rad by the conversion factor. For example, 10 rad = 636.6197724 gon. Use our calculator above for instant results.

Is the radians to gradians 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 radians to gradians 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 radians and gradians?

Radians (rad) and Gradians (gon) are both units of angle but belong to different measurement systems. 1 rad = 63.66197724 gon. Use the converter above to switch between them instantly.

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

rad → gon Reference Table

rad	gon
0.001 rad	0.06366197724 gon
0.002 rad	0.1273239545 gon
0.003 rad	0.1909859317 gon
0.004 rad	0.2546479089 gon
0.005 rad	0.3183098862 gon
0.006 rad	0.3819718634 gon
0.007 rad	0.4456338407 gon
0.008 rad	0.5092958179 gon
0.009 rad	0.5729577951 gon
0.01 rad	0.6366197724 gon
0.02 rad	1.273239545 gon
0.03 rad	1.909859317 gon
0.04 rad	2.546479089 gon
0.05 rad	3.183098862 gon
0.06 rad	3.819718634 gon
0.07 rad	4.456338407 gon
0.08 rad	5.092958179 gon
0.09 rad	5.729577951 gon
0.1 rad	6.366197724 gon
0.2 rad	12.73239545 gon
0.3 rad	19.09859317 gon
0.4 rad	25.46479089 gon
0.5 rad	31.83098862 gon
0.6 rad	38.19718634 gon
0.7 rad	44.56338407 gon
0.8 rad	50.92958179 gon
0.9 rad	57.29577951 gon
1 rad	63.66197724 gon
1.5 rad	95.49296586 gon
2 rad	127.3239545 gon
2.5 rad	159.1549431 gon
3 rad	190.9859317 gon
3.5 rad	222.8169203 gon
4 rad	254.6479089 gon
4.5 rad	286.4788976 gon
5 rad	318.3098862 gon
5.5 rad	350.1408748 gon
6 rad	381.9718634 gon
6.5 rad	413.802852 gon
7 rad	445.6338407 gon
7.5 rad	477.4648293 gon
8 rad	509.2958179 gon
8.5 rad	541.1268065 gon
9 rad	572.9577951 gon
9.5 rad	604.7887837 gon
10 rad	636.6197724 gon
11 rad	700.2817496 gon
12 rad	763.9437268 gon
13 rad	827.6057041 gon
14 rad	891.2676813 gon
15 rad	954.9296586 gon
16 rad	1018.591636 gon
17 rad	1082.253613 gon
18 rad	1145.91559 gon
19 rad	1209.577567 gon
20 rad	1273.239545 gon
25 rad	1591.549431 gon
30 rad	1909.859317 gon
35 rad	2228.169203 gon
40 rad	2546.479089 gon
45 rad	2864.788976 gon
50 rad	3183.098862 gon
55 rad	3501.408748 gon
60 rad	3819.718634 gon
65 rad	4138.02852 gon
70 rad	4456.338407 gon
75 rad	4774.648293 gon
80 rad	5092.958179 gon
85 rad	5411.268065 gon
90 rad	5729.577951 gon
95 rad	6047.887837 gon
100 rad	6366.197724 gon
120 rad	7639.437268 gon
125 rad	7957.747155 gon
130 rad	8276.057041 gon
140 rad	8912.676813 gon
150 rad	9549.296586 gon
160 rad	10185.91636 gon
175 rad	11140.84602 gon
180 rad	11459.1559 gon
200 rad	12732.39545 gon
225 rad	14323.94488 gon
250 rad	15915.49431 gon
275 rad	17507.04374 gon
300 rad	19098.59317 gon
350 rad	22281.69203 gon
400 rad	25464.79089 gon
450 rad	28647.88976 gon
500 rad	31830.98862 gon
600 rad	38197.18634 gon
700 rad	44563.38407 gon
750 rad	47746.48293 gon
800 rad	50929.58179 gon
900 rad	57295.77951 gon
1000 rad	63661.97724 gon
1200 rad	76394.37268 gon
1250 rad	79577.47155 gon
1500 rad	95492.96586 gon
1750 rad	111408.4602 gon
2000 rad	127323.9545 gon
2500 rad	159154.9431 gon
3000 rad	190985.9317 gon
4000 rad	254647.9089 gon
4500 rad	286478.8976 gon
5000 rad	318309.8862 gon
6000 rad	381971.8634 gon
7000 rad	445633.8407 gon
7500 rad	477464.8293 gon
8000 rad	509295.8179 gon
9000 rad	572957.7951 gon
10000 rad	636619.7724 gon
15000 rad	954929.6586 gon
20000 rad	1273239.545 gon
25000 rad	1591549.431 gon
50000 rad	3183098.862 gon
75000 rad	4774648.293 gon
100000 rad	6366197.724 gon

Why Convert Radians to Gradians?

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

Angle conversions between rad and gon 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 Radians to Gradians

To convert radians to gradians, use the following formula:

gon = rad × 63.66197724

Example: 1 rad = 63.66197724 gon

For example, 5 rad = 318.3098862 gon, 10 rad = 636.6197724 gon, and 100 rad = 6366.197724 gon. For larger values, 1000 rad = 63661.97724 gon. Conversely, 1 gon = 0.01570796327 rad. 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 Radian?

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

Mathematics and physics.

What is a Gradian?

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

Surveying.

Radians → Gradians

Radians to Gradians Formula