Radian Conversion Calculator
Enter a value in radians below to convert to another unit of angle.
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Do you want to convert radians to degrees?
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How to Convert Radians
To convert radians to another unit of angle, you need to multiply the value by a conversion factor. A conversion factor is a numerical value used to change the units of a measurement without changing the value.[2]
You can find the conversion factors for radians in the conversion table below.
Then, multiply the angle measurement by the conversion factor to find the equivalent value in the desired unit of measurement.
radians × conversion factor = result
You can also use a calculator, such as one of the converters below, for the conversion.
Radian Conversion Table
| radians | milliradians | degrees | minutes of arc | seconds of arc | gradians | revolutions | circles | Mils (NATO) |
|---|---|---|---|---|---|---|---|---|
| 1 rad | 1,000 mrad | 57.29578° | 3,438' | 206,265" | 63.661977g | 0.159155 r | 0.159155 cir | 1,019 mil |
| 2 rad | 2,000 mrad | 114.591559° | 6,875' | 412,530" | 127.323954g | 0.31831 r | 0.31831 cir | 2,037 mil |
| 3 rad | 3,000 mrad | 171.887339° | 10,313' | 618,794" | 190.985932g | 0.477465 r | 0.477465 cir | 3,056 mil |
| 4 rad | 4,000 mrad | 229.183118° | 13,751' | 825,059" | 254.647909g | 0.63662 r | 0.63662 cir | 4,074 mil |
| 5 rad | 5,000 mrad | 286.478898° | 17,189' | 1,031,324" | 318.309886g | 0.795775 r | 0.795775 cir | 5,093 mil |
| 6 rad | 6,000 mrad | 343.774677° | 20,626' | 1,237,589" | 381.971863g | 0.95493 r | 0.95493 cir | 6,112 mil |
| 7 rad | 7,000 mrad | 401.070457° | 24,064' | 1,443,854" | 445.633841g | 1.114085 r | 1.114085 cir | 7,130 mil |
| 8 rad | 8,000 mrad | 458.366236° | 27,502' | 1,650,118" | 509.295818g | 1.27324 r | 1.27324 cir | 8,149 mil |
| 9 rad | 9,000 mrad | 515.662016° | 30,940' | 1,856,383" | 572.957795g | 1.432394 r | 1.432394 cir | 9,167 mil |
| 10 rad | 10,000 mrad | 572.957795° | 34,377' | 2,062,648" | 636.619772g | 1.591549 r | 1.591549 cir | 10,186 mil |
| 11 rad | 11,000 mrad | 630.253575° | 37,815' | 2,268,913" | 700.28175g | 1.750704 r | 1.750704 cir | 11,205 mil |
| 12 rad | 12,000 mrad | 687.549354° | 41,253' | 2,475,178" | 763.943727g | 1.909859 r | 1.909859 cir | 12,223 mil |
| 13 rad | 13,000 mrad | 744.845134° | 44,691' | 2,681,442" | 827.605704g | 2.069014 r | 2.069014 cir | 13,242 mil |
| 14 rad | 14,000 mrad | 802.140913° | 48,128' | 2,887,707" | 891.267681g | 2.228169 r | 2.228169 cir | 14,260 mil |
| 15 rad | 15,000 mrad | 859.436693° | 51,566' | 3,093,972" | 954.929659g | 2.387324 r | 2.387324 cir | 15,279 mil |
| 16 rad | 16,000 mrad | 916.732472° | 55,004' | 3,300,237" | 1,019g | 2.546479 r | 2.546479 cir | 16,297 mil |
| 17 rad | 17,000 mrad | 974.028252° | 58,442' | 3,506,502" | 1,082g | 2.705634 r | 2.705634 cir | 17,316 mil |
| 18 rad | 18,000 mrad | 1,031° | 61,879' | 3,712,767" | 1,146g | 2.864789 r | 2.864789 cir | 18,335 mil |
| 19 rad | 19,000 mrad | 1,089° | 65,317' | 3,919,031" | 1,210g | 3.023944 r | 3.023944 cir | 19,353 mil |
| 20 rad | 20,000 mrad | 1,146° | 68,755' | 4,125,296" | 1,273g | 3.183099 r | 3.183099 cir | 20,372 mil |
Radian Conversion Calculators
You can also convert angle using one of our radian converters below.
References
- International Bureau of Weights and Measures, The International System of Units, 9th Edition, 2019, https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf
- National Institute of Standards & Technology, Unit Conversion, https://www.nist.gov/pml/owm/metric-si/unit-conversion