How do I convert radians to degrees?

Multiply the value in rad by the conversion factor. For example, 10 rad = 572.9577951 °. Use our calculator above for instant results.

Is the radians 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 radians 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 radians and degrees?

Radians (rad) and Degrees (°) are both units of angle but belong to different measurement systems. 1 rad = 57.29577951 °. Use the converter above to switch between them instantly.

Radians to Degrees (rad → °) — Free Online Converter

rad → ° Reference Table

rad	°
0.001 rad	0.05729577951 °
0.002 rad	0.114591559 °
0.003 rad	0.1718873385 °
0.004 rad	0.2291831181 °
0.005 rad	0.2864788976 °
0.006 rad	0.3437746771 °
0.007 rad	0.4010704566 °
0.008 rad	0.4583662361 °
0.009 rad	0.5156620156 °
0.01 rad	0.5729577951 °
0.02 rad	1.14591559 °
0.03 rad	1.718873385 °
0.04 rad	2.291831181 °
0.05 rad	2.864788976 °
0.06 rad	3.437746771 °
0.07 rad	4.010704566 °
0.08 rad	4.583662361 °
0.09 rad	5.156620156 °
0.1 rad	5.729577951 °
0.2 rad	11.4591559 °
0.3 rad	17.18873385 °
0.4 rad	22.91831181 °
0.5 rad	28.64788976 °
0.6 rad	34.37746771 °
0.7 rad	40.10704566 °
0.8 rad	45.83662361 °
0.9 rad	51.56620156 °
1 rad	57.29577951 °
1.5 rad	85.94366927 °
2 rad	114.591559 °
2.5 rad	143.2394488 °
3 rad	171.8873385 °
3.5 rad	200.5352283 °
4 rad	229.1831181 °
4.5 rad	257.8310078 °
5 rad	286.4788976 °
5.5 rad	315.1267873 °
6 rad	343.7746771 °
6.5 rad	372.4225668 °
7 rad	401.0704566 °
7.5 rad	429.7183463 °
8 rad	458.3662361 °
8.5 rad	487.0141259 °
9 rad	515.6620156 °
9.5 rad	544.3099054 °
10 rad	572.9577951 °
11 rad	630.2535746 °
12 rad	687.5493542 °
13 rad	744.8451337 °
14 rad	802.1409132 °
15 rad	859.4366927 °
16 rad	916.7324722 °
17 rad	974.0282517 °
18 rad	1031.324031 °
19 rad	1088.619811 °
20 rad	1145.91559 °
25 rad	1432.394488 °
30 rad	1718.873385 °
35 rad	2005.352283 °
40 rad	2291.831181 °
45 rad	2578.310078 °
50 rad	2864.788976 °
55 rad	3151.267873 °
60 rad	3437.746771 °
65 rad	3724.225668 °
70 rad	4010.704566 °
75 rad	4297.183463 °
80 rad	4583.662361 °
85 rad	4870.141259 °
90 rad	5156.620156 °
95 rad	5443.099054 °
100 rad	5729.577951 °
120 rad	6875.493542 °
125 rad	7161.972439 °
130 rad	7448.451337 °
140 rad	8021.409132 °
150 rad	8594.366927 °
160 rad	9167.324722 °
175 rad	10026.76141 °
180 rad	10313.24031 °
200 rad	11459.1559 °
225 rad	12891.55039 °
250 rad	14323.94488 °
275 rad	15756.33937 °
300 rad	17188.73385 °
350 rad	20053.52283 °
400 rad	22918.31181 °
450 rad	25783.10078 °
500 rad	28647.88976 °
600 rad	34377.46771 °
700 rad	40107.04566 °
750 rad	42971.83463 °
800 rad	45836.62361 °
900 rad	51566.20156 °
1000 rad	57295.77951 °
1200 rad	68754.93542 °
1250 rad	71619.72439 °
1500 rad	85943.66927 °
1750 rad	100267.6141 °
2000 rad	114591.559 °
2500 rad	143239.4488 °
3000 rad	171887.3385 °
4000 rad	229183.1181 °
4500 rad	257831.0078 °
5000 rad	286478.8976 °
6000 rad	343774.6771 °
7000 rad	401070.4566 °
7500 rad	429718.3463 °
8000 rad	458366.2361 °
9000 rad	515662.0156 °
10000 rad	572957.7951 °
15000 rad	859436.6927 °
20000 rad	1145915.59 °
25000 rad	1432394.488 °
50000 rad	2864788.976 °
75000 rad	4297183.463 °
100000 rad	5729577.951 °

Why Convert Radians to Degrees?

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

Angle conversions between rad 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 Radians to Degrees

To convert radians to degrees, use the following formula:

° = rad × 57.29577951

Example: 1 rad = 57.29577951 °

For example, 5 rad = 286.4788976 °, 10 rad = 572.9577951 °, and 100 rad = 5729.577951 °. For larger values, 1000 rad = 57295.77951 °. Conversely, 1 ° = 0.01745329252 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 Degree?

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

Geometry and navigation.

Radians → Degrees

Radians to Degrees Formula