Convert 2 radians to degrees.
Degrees = 2 × 180/π ≈ 2 × 57.2958 = 114.59 degrees.
Radians to Degrees (rad → °)
Formula
1 rad = 57.29577951308232 °Conversion Table
| rad | ° |
|---|---|
| 0 | 0 |
| 1.0000 | 57.296 |
| 2.0000 | 114.59 |
| 3.0000 | 171.89 |
| 4.0000 | 229.18 |
| 5.0000 | 286.48 |
| 6.0000 | 343.77 |
| 7.0000 | 401.07 |
| 8.0000 | 458.37 |
| 9.0000 | 515.66 |
| 10.000 | 572.96 |
| 11.000 | 630.25 |
| 12.000 | 687.55 |
| 13.000 | 744.85 |
| 14.000 | 802.14 |
| 15.000 | 859.44 |
| 16.000 | 916.73 |
| 17.000 | 974.03 |
| 18.000 | 1,031.3 |
| 19.000 | 1,088.6 |
| rad | ° |
|---|---|
| 20.000 | 1,145.9 |
| 21.000 | 1,203.2 |
| 22.000 | 1,260.5 |
| 23.000 | 1,317.8 |
| 24.000 | 1,375.1 |
| 25.000 | 1,432.4 |
| 26.000 | 1,489.7 |
| 27.000 | 1,547.0 |
| 28.000 | 1,604.3 |
| 29.000 | 1,661.6 |
| 30.000 | 1,718.9 |
| 31.000 | 1,776.2 |
| 32.000 | 1,833.5 |
| 33.000 | 1,890.8 |
| 34.000 | 1,948.1 |
| 35.000 | 2,005.4 |
| 36.000 | 2,062.6 |
| 37.000 | 2,119.9 |
| 38.000 | 2,177.2 |
| 39.000 | 2,234.5 |
| rad | ° |
|---|---|
| 40.000 | 2,291.8 |
| 41.000 | 2,349.1 |
| 42.000 | 2,406.4 |
| 43.000 | 2,463.7 |
| 44.000 | 2,521.0 |
| 45.000 | 2,578.3 |
| 46.000 | 2,635.6 |
| 47.000 | 2,692.9 |
| 48.000 | 2,750.2 |
| 49.000 | 2,807.5 |
| 50.000 | 2,864.8 |
| 51.000 | 2,922.1 |
| 52.000 | 2,979.4 |
| 53.000 | 3,036.7 |
| 54.000 | 3,094.0 |
| 55.000 | 3,151.3 |
| 56.000 | 3,208.6 |
| 57.000 | 3,265.9 |
| 58.000 | 3,323.2 |
| 59.000 | 3,380.5 |
| rad | ° |
|---|---|
| 60.000 | 3,437.7 |
| 61.000 | 3,495.0 |
| 62.000 | 3,552.3 |
| 63.000 | 3,609.6 |
| 64.000 | 3,666.9 |
| 65.000 | 3,724.2 |
| 66.000 | 3,781.5 |
| 67.000 | 3,838.8 |
| 68.000 | 3,896.1 |
| 69.000 | 3,953.4 |
| 70.000 | 4,010.7 |
| 71.000 | 4,068.0 |
| 72.000 | 4,125.3 |
| 73.000 | 4,182.6 |
| 74.000 | 4,239.9 |
| 75.000 | 4,297.2 |
| 76.000 | 4,354.5 |
| 77.000 | 4,411.8 |
| 78.000 | 4,469.1 |
| 79.000 | 4,526.4 |
Radians to Degrees Conversion
Radians and degrees both measure plane angles; radians relate angle length to radius, while degrees divide a circle into 360 parts. Conversion applies a scale factor: 1 radian equals 180/π degrees. This conversion is fundamental in mathematics, physics, and engineering.
Sources: BIPM SI Brochure, 9th edition
Radians → Degrees
Converting Radians (rad) to Degrees (°) is a common angle conversion. 1 rad equals 57.29578 °. For example, 100 rad is equal to 5,729.577951 °.
Quick Mental Math: Radians to Degrees
Multiply radians by 57.2958 to get degrees (approximate).
Why is converting Radians to Degrees tricky?
Mistaking radians as degrees or vice versa, or confusing scale factor with offset, causes common mistakes.
Quick Reference Values
1 rad = 57.29578 °. 5 rad = 286.478898 °. 10 rad = 572.957795 °. 25 rad = 1,432.394488 °. 50 rad = 2,864.788976 °. 100 rad = 5,729.577951 °.
What is Radians?
Radians (rad) is a unit of angle. A radian is the SI unit of plane angle defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One radian equals approximately 57.2958 degrees or exactly 1 rad = radius/arc length ratio. It is a dimensionless unit used extensively in mathematics, physics, and engineering [bipm-si-brochure]. The radian concept was formalized in the 19th century, with mathematicians like Roger Cotes contributing to its development. The radian was adopted as the standard angular unit in the SI system to provide a natural measure of angles based on circle geometry [bipm-si-brochure]. Radians are the standard unit of angular measurement in science, engineering, and technology worldwide. They are used in trigonometry, rotational dynamics, and signal processing, with formal adoption by the BIPM and ISO 80000 standards [bipm-si-brochure, iso-80000].
What is Degrees?
Degrees (°) is a unit of angle. A degree is a unit of angular measurement defined as 1/360 of a full rotation or circle. One degree equals exactly π/180 radians, aligning with the International System of Units (SI) conventions for angles. It is commonly used in geometry, navigation, and geospatial coordinates to measure angles and directions [iso-80000]. The degree originated with the ancient Babylonians around 3000 BCE, who divided a circle into 360 parts likely based on their sexagesimal numeral system. This system was formalized over centuries and incorporated into modern angle measurement standards. The consistent division into 360 degrees became globally accepted due to its mathematical convenience and historical use [iso-80000]. Degrees are used worldwide in navigation, astronomy, cartography, and engineering. Countries including the United States, Canada, and members of the European Union employ degrees for geographic coordinates. Scientific organizations such as ISO and BIPM recognize degrees as a standard unit for angles [bipm-si-brochure].
Common Misspellings
People often search for this conversion using these alternate spellings: radianes, radias, radans, radiens, degres, degreess, degreees, degre, degr. All of these refer to the Radians to Degrees conversion.
FAQ
Is the conversion between radians and degrees reversible?
Yes. Degrees to radians uses π/180; radians to degrees uses 180/π, both scale factors without offset.