How do I convert turns to degrees?

Multiply the value in tr by the conversion factor. For example, 10 tr = 3600 °. Use our calculator above for instant results.

Is the turns 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 turns 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 turns and degrees?

Turns (tr) and Degrees (°) are both units of angle but belong to different measurement systems. 1 tr = 360 °. Use the converter above to switch between them instantly.

Turns to Degrees (tr → °) — Free Online Converter

tr → ° Reference Table

tr	°
0.001 tr	0.36 °
0.002 tr	0.72 °
0.003 tr	1.08 °
0.004 tr	1.44 °
0.005 tr	1.8 °
0.006 tr	2.16 °
0.007 tr	2.52 °
0.008 tr	2.88 °
0.009 tr	3.24 °
0.01 tr	3.6 °
0.02 tr	7.2 °
0.03 tr	10.8 °
0.04 tr	14.4 °
0.05 tr	18 °
0.06 tr	21.6 °
0.07 tr	25.2 °
0.08 tr	28.8 °
0.09 tr	32.4 °
0.1 tr	36 °
0.2 tr	72 °
0.3 tr	108 °
0.4 tr	144 °
0.5 tr	180 °
0.6 tr	216 °
0.7 tr	252 °
0.8 tr	288 °
0.9 tr	324 °
1 tr	360 °
1.5 tr	540 °
2 tr	720 °
2.5 tr	900 °
3 tr	1080 °
3.5 tr	1260 °
4 tr	1440 °
4.5 tr	1620 °
5 tr	1800 °
5.5 tr	1980 °
6 tr	2160 °
6.5 tr	2340 °
7 tr	2520 °
7.5 tr	2700 °
8 tr	2880 °
8.5 tr	3060 °
9 tr	3240 °
9.5 tr	3420 °
10 tr	3600 °
11 tr	3960 °
12 tr	4320 °
13 tr	4680 °
14 tr	5040 °
15 tr	5400 °
16 tr	5760 °
17 tr	6120 °
18 tr	6480 °
19 tr	6840 °
20 tr	7200 °
25 tr	9000 °
30 tr	10800 °
35 tr	12600 °
40 tr	14400 °
45 tr	16200 °
50 tr	18000 °
55 tr	19800 °
60 tr	21600 °
65 tr	23400 °
70 tr	25200 °
75 tr	27000 °
80 tr	28800 °
85 tr	30600 °
90 tr	32400 °
95 tr	34200 °
100 tr	36000 °
120 tr	43200 °
125 tr	45000 °
130 tr	46800 °
140 tr	50400 °
150 tr	54000 °
160 tr	57600 °
175 tr	63000 °
180 tr	64800 °
200 tr	72000 °
225 tr	81000 °
250 tr	90000 °
275 tr	99000 °
300 tr	108000 °
350 tr	126000 °
400 tr	144000 °
450 tr	162000 °
500 tr	180000 °
600 tr	216000 °
700 tr	252000 °
750 tr	270000 °
800 tr	288000 °
900 tr	324000 °
1000 tr	360000 °
1200 tr	432000 °
1250 tr	450000 °
1500 tr	540000 °
1750 tr	630000 °
2000 tr	720000 °
2500 tr	900000 °
3000 tr	1080000 °
4000 tr	1440000 °
4500 tr	1620000 °
5000 tr	1800000 °
6000 tr	2160000 °
7000 tr	2520000 °
7500 tr	2700000 °
8000 tr	2880000 °
9000 tr	3240000 °
10000 tr	3600000 °
15000 tr	5400000 °
20000 tr	7200000 °
25000 tr	9000000 °
50000 tr	18000000 °
75000 tr	27000000 °
100000 tr	36000000 °

Why Convert Turns to Degrees?

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

Angle conversions between tr 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 Turns to Degrees

To convert turns to degrees, use the following formula:

° = tr × 360

Example: 1 tr = 360 °

For example, 5 tr = 1800 °, 10 tr = 3600 °, and 100 tr = 36000 °. For larger values, 1000 tr = 360000 °. Conversely, 1 ° = 0.002777777778 tr. 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 Turn?

A full rotation (360 degrees).

Mechanics.

What is a Degree?

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

Geometry and navigation.

Turns → Degrees

Turns to Degrees Formula