How do I convert gradians to degrees?

Multiply the value in gon by the conversion factor. For example, 10 gon = 9 °. Use our calculator above for instant results.

Is the gradians to degrees 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 degrees 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 degrees?

Gradians (gon) and Degrees (°) are both units of angle but belong to different measurement systems. 1 gon = 0.9 °. Use the converter above to switch between them instantly.

Gradians to Degrees (gon → °) — Free Online Converter

gon → ° Reference Table

gon	°
0.001 gon	0.0009 °
0.002 gon	0.0018 °
0.003 gon	0.0027 °
0.004 gon	0.0036 °
0.005 gon	0.0045 °
0.006 gon	0.0054 °
0.007 gon	0.0063 °
0.008 gon	0.0072 °
0.009 gon	0.0081 °
0.01 gon	0.009 °
0.02 gon	0.018 °
0.03 gon	0.027 °
0.04 gon	0.036 °
0.05 gon	0.045 °
0.06 gon	0.054 °
0.07 gon	0.063 °
0.08 gon	0.072 °
0.09 gon	0.081 °
0.1 gon	0.09 °
0.2 gon	0.18 °
0.3 gon	0.27 °
0.4 gon	0.36 °
0.5 gon	0.45 °
0.6 gon	0.54 °
0.7 gon	0.63 °
0.8 gon	0.72 °
0.9 gon	0.81 °
1 gon	0.9 °
1.5 gon	1.35 °
2 gon	1.8 °
2.5 gon	2.25 °
3 gon	2.7 °
3.5 gon	3.15 °
4 gon	3.6 °
4.5 gon	4.05 °
5 gon	4.5 °
5.5 gon	4.95 °
6 gon	5.4 °
6.5 gon	5.85 °
7 gon	6.3 °
7.5 gon	6.75 °
8 gon	7.2 °
8.5 gon	7.65 °
9 gon	8.1 °
9.5 gon	8.55 °
10 gon	9 °
11 gon	9.9 °
12 gon	10.8 °
13 gon	11.7 °
14 gon	12.6 °
15 gon	13.5 °
16 gon	14.4 °
17 gon	15.3 °
18 gon	16.2 °
19 gon	17.1 °
20 gon	18 °
25 gon	22.5 °
30 gon	27 °
35 gon	31.5 °
40 gon	36 °
45 gon	40.5 °
50 gon	45 °
55 gon	49.5 °
60 gon	54 °
65 gon	58.5 °
70 gon	63 °
75 gon	67.5 °
80 gon	72 °
85 gon	76.5 °
90 gon	81 °
95 gon	85.5 °
100 gon	90 °
120 gon	108 °
125 gon	112.5 °
130 gon	117 °
140 gon	126 °
150 gon	135 °
160 gon	144 °
175 gon	157.5 °
180 gon	162 °
200 gon	180 °
225 gon	202.5 °
250 gon	225 °
275 gon	247.5 °
300 gon	270 °
350 gon	315 °
400 gon	360 °
450 gon	405 °
500 gon	450 °
600 gon	540 °
700 gon	630 °
750 gon	675 °
800 gon	720 °
900 gon	810 °
1000 gon	900 °
1200 gon	1080 °
1250 gon	1125 °
1500 gon	1350 °
1750 gon	1575 °
2000 gon	1800 °
2500 gon	2250 °
3000 gon	2700 °
4000 gon	3600 °
4500 gon	4050 °
5000 gon	4500 °
6000 gon	5400 °
7000 gon	6300 °
7500 gon	6750 °
8000 gon	7200 °
9000 gon	8100 °
10000 gon	9000 °
15000 gon	13500 °
20000 gon	18000 °
25000 gon	22500 °
50000 gon	45000 °
75000 gon	67500 °
100000 gon	90000 °

Why Convert Gradians to Degrees?

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

Angle conversions between gon and ° 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 Degrees

To convert gradians to degrees, use the following formula:

° = gon × 0.9

Example: 1 gon = 0.9 °

For example, 5 gon = 4.5 °, 10 gon = 9 °, and 100 gon = 90 °. For larger values, 1000 gon = 900 °. Conversely, 1 ° = 1.111111111 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 Degree?

A measurement of plane angle, 1/360 of a full rotation.

Geometry and navigation.

Gradians → Degrees

Gradians to Degrees Formula