How do I convert degrees to radians?

Multiply the value in ° by the conversion factor. For example, 10 ° = 0.1745329252 rad. Use our calculator above for instant results.

Is the degrees 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 degrees 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 degrees and radians?

Degrees (°) and Radians (rad) are both units of angle but belong to different measurement systems. 1 ° = 0.01745329252 rad. Use the converter above to switch between them instantly.

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

° → rad Reference Table

°	rad
0.001 °	0.00001745329252 rad
0.002 °	0.00003490658504 rad
0.003 °	0.00005235987756 rad
0.004 °	0.00006981317008 rad
0.005 °	0.0000872664626 rad
0.006 °	0.0001047197551 rad
0.007 °	0.0001221730476 rad
0.008 °	0.0001396263402 rad
0.009 °	0.0001570796327 rad
0.01 °	0.0001745329252 rad
0.02 °	0.0003490658504 rad
0.03 °	0.0005235987756 rad
0.04 °	0.0006981317008 rad
0.05 °	0.000872664626 rad
0.06 °	0.001047197551 rad
0.07 °	0.001221730476 rad
0.08 °	0.001396263402 rad
0.09 °	0.001570796327 rad
0.1 °	0.001745329252 rad
0.2 °	0.003490658504 rad
0.3 °	0.005235987756 rad
0.4 °	0.006981317008 rad
0.5 °	0.00872664626 rad
0.6 °	0.01047197551 rad
0.7 °	0.01221730476 rad
0.8 °	0.01396263402 rad
0.9 °	0.01570796327 rad
1 °	0.01745329252 rad
1.5 °	0.02617993878 rad
2 °	0.03490658504 rad
2.5 °	0.0436332313 rad
3 °	0.05235987756 rad
3.5 °	0.06108652382 rad
4 °	0.06981317008 rad
4.5 °	0.07853981634 rad
5 °	0.0872664626 rad
5.5 °	0.09599310886 rad
6 °	0.1047197551 rad
6.5 °	0.1134464014 rad
7 °	0.1221730476 rad
7.5 °	0.1308996939 rad
8 °	0.1396263402 rad
8.5 °	0.1483529864 rad
9 °	0.1570796327 rad
9.5 °	0.1658062789 rad
10 °	0.1745329252 rad
11 °	0.1919862177 rad
12 °	0.2094395102 rad
13 °	0.2268928028 rad
14 °	0.2443460953 rad
15 °	0.2617993878 rad
16 °	0.2792526803 rad
17 °	0.2967059728 rad
18 °	0.3141592654 rad
19 °	0.3316125579 rad
20 °	0.3490658504 rad
25 °	0.436332313 rad
30 °	0.5235987756 rad
35 °	0.6108652382 rad
40 °	0.6981317008 rad
45 °	0.7853981634 rad
50 °	0.872664626 rad
55 °	0.9599310886 rad
60 °	1.047197551 rad
65 °	1.134464014 rad
70 °	1.221730476 rad
75 °	1.308996939 rad
80 °	1.396263402 rad
85 °	1.483529864 rad
90 °	1.570796327 rad
95 °	1.658062789 rad
100 °	1.745329252 rad
120 °	2.094395102 rad
125 °	2.181661565 rad
130 °	2.268928028 rad
140 °	2.443460953 rad
150 °	2.617993878 rad
160 °	2.792526803 rad
175 °	3.054326191 rad
180 °	3.141592654 rad
200 °	3.490658504 rad
225 °	3.926990817 rad
250 °	4.36332313 rad
275 °	4.799655443 rad
300 °	5.235987756 rad
350 °	6.108652382 rad
400 °	6.981317008 rad
450 °	7.853981634 rad
500 °	8.72664626 rad
600 °	10.47197551 rad
700 °	12.21730476 rad
750 °	13.08996939 rad
800 °	13.96263402 rad
900 °	15.70796327 rad
1000 °	17.45329252 rad
1200 °	20.94395102 rad
1250 °	21.81661565 rad
1500 °	26.17993878 rad
1750 °	30.54326191 rad
2000 °	34.90658504 rad
2500 °	43.6332313 rad
3000 °	52.35987756 rad
4000 °	69.81317008 rad
4500 °	78.53981634 rad
5000 °	87.2664626 rad
6000 °	104.7197551 rad
7000 °	122.1730476 rad
7500 °	130.8996939 rad
8000 °	139.6263402 rad
9000 °	157.0796327 rad
10000 °	174.5329252 rad
15000 °	261.7993878 rad
20000 °	349.0658504 rad
25000 °	436.332313 rad
50000 °	872.664626 rad
75000 °	1308.996939 rad
100000 °	1745.329252 rad

Why Convert Degrees to Radians?

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

Angle conversions between ° 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 Degrees to Radians

To convert degrees to radians, use the following formula:

rad = ° × 0.01745329252

Example: 1 ° = 0.01745329252 rad

For example, 5 ° = 0.0872664626 rad, 10 ° = 0.1745329252 rad, and 100 ° = 1.745329252 rad. For larger values, 1000 ° = 17.45329252 rad. Conversely, 1 rad = 57.29577951 °. 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 Degree?

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

Geometry and navigation.

What is a Radian?

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

Mathematics and physics.

Degrees → Radians

Degrees to Radians Formula