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Angle Converter: Radians to Degrees.

Convert degrees, radians, gradians, arcminutes and arcseconds.

This radians to degrees converter multiplies radians by 180/π, so 1 radian is 57.2958 degrees and π radians is exactly 180 degrees. It also converts degrees to radians, gradians, arcminutes and arcseconds. Type an angle below to convert it, or use the table of common angles.

Updated

INTERACTIVE TOOL

01 / Enter values

Your result

0.17453 rad

1 ° = 0.017453 rad

Common conversions

1 ° → 0.01745 rad
5 ° → 0.08727 rad
10 ° → 0.17453 rad
50 ° → 0.87266 rad
100 ° → 1.74533 rad

QUICK ANSWER

To convert radians to degrees, multiply by 180/π (about 57.2958). To convert degrees to radians, multiply by π/180 (about 0.0174533). So π radians = 180° and 1 radian = 57.2958°.

THE METHOD

How it works

Convert the source angle into degrees, then divide by the target unit’s degree factor. 1 radian = 180 ÷ π degrees.

PUT IT TO USE

Example calculation

10 ° = 600 arcmin. Change the amount or swap the units above to calculate your own value.

QUICK REFERENCE

Conversion tables

Radians to degrees
rad°
0.5 rad28.648 °
1 rad57.296 °
1.5708 rad90 °
2 rad114.592 °
3.1416 rad180 °
4.7124 rad270 °
6.2832 rad360 °
Degrees to radians
°rad
30 °0.5236 rad
45 °0.7854 rad
60 °1.0472 rad
90 °1.5708 rad
120 °2.0944 rad
180 °3.14159 rad
270 °4.71239 rad
360 °6.28319 rad

Converting radians to degrees and degrees to radians

A full circle is 360° or 2π radians, so 180° = π rad. Degrees = radians × 180 ÷ π and radians = degrees × π ÷ 180. Example: 2.5 rad × 57.2958 = 143.24°; 45° × 0.0174533 = 0.7854 rad (π/4).

Common angles in radians

30° = π/6, 45° = π/4, 60° = π/3, 90° = π/2, 180° = π and 360° = 2π. Calculators and programming languages use radians for trigonometric functions, so convert degrees first.

In short

How to use the Angle Converter

  1. Type the amount, for example 10 °.
  2. Pick the unit you want, for example arcmin.
  3. Use the swap button to convert the other way, and the decimal places setting to round the answer.
  4. Read the result. It updates as you type, so you can change any value and compare.

Quick reference

arcmin to °

arcmin°
0.5 arcmin0.008333 °
1 arcmin0.016667 °
2 arcmin0.033333 °
5 arcmin0.083333 °
10 arcmin0.166667 °
25 arcmin0.416667 °
50 arcmin0.833333 °
100 arcmin1.666667 °
250 arcmin4.166667 °
1,000 arcmin16.666667 °
Screenshot of the Angle Converter on this site with a worked example filled in
Screenshot: the Angle Converter with the example values entered.

Accuracy

How we checked this

We compared 4 results from this calculator with values we worked out independently, using exact decimal arithmetic and the published definitions, on October 26, 2026. 4 of 4 matched to the precision shown.

InputIndependent valueThis pageMatch
1 rad → °57.2957857.29578Yes
180 ° → rad3.1415933.141593Yes
90 ° → grad100100Yes
30 arcmin → °0.50.5Yes

From the source

NIST Special Publication (SP) 811, Appendix B is an essential source when exact unit conversion factors are needed.

Source: NIST: Unit conversion

Sources

GOOD TO KNOW

Frequently asked questions

How many degrees is 1 radian?

1 radian is 57.2958 degrees.

How do you convert degrees to radians?

Multiply by π/180. 90° = π/2 = 1.5708 rad.

How is this conversion calculated?

Convert the source angle into degrees, then divide by the target unit’s degree factor. 1 radian = 180 ÷ π degrees.

Can I reverse the conversion?

Yes. Select the swap button between the fields to reverse the source and destination units instantly.

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