About Radians to Degrees Converter
This converter turns radians into degrees. One radian is 57.2958 degrees. It is free, needs no sign-up and runs in your browser, so nothing you enter is uploaded.
To convert by hand, multiply the number of radians by 57.29578. For example, 0.1 rad × 57.29578 = 5.72958 deg. To go back, multiply degrees by 0.017453293. For a rough mental estimate, multiply by about 57, which is off by about 0.5 percent.
One radian is 57.2958 deg. A full turn is 360 degrees, 400 gradians and 2π radians (about 6.283185 rad). An arcminute is 1/60 of a degree and an arcsecond is 1/60 of an arcminute. Radians are the unit calculators and programming languages expect for sin, cos and tan.
Multiply by 180 ÷ π, which is about 57.2958 degrees per radian. π/2 rad is 90°, π rad is 180° and 2π rad is 360°. Programming languages return angles from functions such as atan2 in radians, so this is the usual step before showing a bearing or a slope angle.
How to use Radians to Degrees Converter
- Choose a group such as Length or Temperature from the Quantity picker. It opens on a worked conversion.
- Type the value you want to convert in the From box. Decimals and negative numbers are fine.
- Pick the unit you have in the From list and the unit you want in the To list. The swap button reverses the pair.
- Read the result in the result card, and use the copy button to put it on your clipboard.
- Set Precision to Auto, or to a fixed number of decimals from 0 to 10, if you need a specific rounding.
- Check the formula line and the chart of common values under the result when you want to see how the number was reached.
Features
- 102 units in 15 groups, from nanometers and light-years to square miles, and from bits to tebibytes. It includes milligrams, UK gallons and pints, cubic meters, feet and inches, degrees and radians, hertz and rpm, and bits per second to MB/s.
- Results update as you type, with a swap button to reverse the pair.
- Precision control: Auto (up to 8 significant digits) or 0 to 10 fixed decimals.
- A copy button for the result.
- The formula and the factor in both directions, shown under the result.
- A chart of common values (1, 2, 5, 10, 20, 25, 50, 75, 100, 250, 500 and 1,000) for the pair you chose.
- Temperature handled with proper offset formulas, plus the UK gas mark oven table.
- Fuel economy handled as an inverse, so US and UK miles per gallon and liters per 100 km convert correctly.
- Bangladesh land units: decimal (shotangsho), katha and bigha.
- Both decimal data units (KB, MB, GB, TB) and binary ones (KiB, MiB, GiB, TiB), clearly labeled.
Radians to degrees formula
To convert radians to degrees, multiply the value by 57.29578.
To go the other way, multiply degrees by 0.017453293, which is the same as dividing by 57.29578.
deg = rad × 57.29578Worked examples
0.1 rad gives 5.72958 deg
0.1 × 57.29578 = 5.72958
3.1416 rad gives 180 deg
3.1416 × 57.29578 = 180
4 rad gives 229.183 deg
4 × 57.29578 = 229.183
Radians to degrees conversion chart
| Radians (rad) | Degrees (deg) |
|---|---|
| 0.1 | 5.72958 |
| 0.5 | 28.6479 |
| 1 | 57.2958 |
| 1.5 | 85.9437 |
| 2 | 114.592 |
| 3 | 171.887 |
| 3.1416 | 180 |
| 4 | 229.183 |
| 5 | 286.479 |
| 6.2832 | 360.001 |
Privacy: how it works
- Every conversion is calculated by code running in your browser tab. The values you type are never sent to Ulkaa or anyone else, and nothing is stored.
- There is no account and no sign-up for this tool, and it costs nothing to use.
Tips
- Use the swap button instead of retyping when you need the reverse conversion.
- For a quick mental check, round the factor: 1 inch is about 2.5 cm, 1 kg is about 2.2 lbs, 1 mile is about 1.6 km.
- Set Precision to 2 decimals for cooking, shopping and travel, and to 6 or more for engineering work.
- Check whether a figure uses US or imperial units before converting volumes, gallons and miles per gallon.
- For land, convert for a rough size, then confirm the area from the deed or survey record.
Frequently asked questions
Is it really free?
Yes. There is no price, no trial and no credit card. Ulkaa Tool does the work with your own device, so there is no server bill to pass on to you.
Do I need an account?
No. There is no sign-up and no login. Open the page and use it. An Ulkaa account is not needed for anything on this tool.
Does it run in my browser?
Yes. Your values are processed by code running in your browser tab, on your own device.
Is my data uploaded?
No. Your values are never sent to Ulkaa or to anyone else. You can check this yourself by watching the Network tab in your browser developer tools while you use the tool.
How many degrees are in a radian?
One radian is 57.2958 degrees.
How many radians are in a degree?
One degree is 0.0174533 radians.
How do I convert radians to degrees by hand?
Multiply the value in radians by 57.29578. For example, 0.1 rad is 5.72958 deg. To reverse it, divide by 57.29578.
How do I convert degrees to radians?
Multiply degrees by π/180, which is about 0.017453293. For example 180 degrees is π radians, about 3.14159 rad, and 90 degrees is about 1.5708 rad. To go back, multiply radians by 180/π.
How many degrees is 1 radian?
One radian is about 57.2958 degrees.
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