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Radians to Degrees Converter

Convert angles from radians to degrees for mathematics, engineering and programming.

Online Converter

Convert Radian to Degree

57.29578

Conversion Formula

° = rad × 57.29577951

1 rad in every angle unit

Tap a unit to make it the target of the converter above.

About radians to degrees conversion

Radians are widely used in mathematics, physics and programming, while degrees are common in navigation, geometry and everyday angle measurements. A full turn is 2π radians or 360 degrees, so one radian is 180/π degrees. Multiply radians by 180/π to express an angle in degrees.

1 rad = 57.29578°
1° = 0.017453 rad
° = rad × 57.29577951

How to use this converter

  1. 1

    Enter a value

    Type a number into the From box. It starts at 1 so you can see the basic ratio straight away. Thousands separators such as 1,250.5 are accepted.

  2. 2

    Choose your units

    This page opens with its own units selected. Use either dropdown to pick any other unit in the category, or tap a unit in the all-units list to make it the target.

  3. 3

    Read the result

    The answer updates as you type and the matching formula is shown underneath. There is no Convert button to press.

  4. 4

    Swap, copy or clear

    Swap reverses the direction, Copy Result copies a line such as 1 km = 0.621371 mi, and Clear empties the input so you can start again.

Supported formats

Input

  • Supported
    Whole numbers25
  • Supported
    Decimal numbers2.75

    Use a dot as the decimal separator.

  • Supported
    Negative numbers-40

    Calculated for every unit. Quantities such as length or weight are normally positive, while temperatures can be negative.

  • Supported
    Thousands separators1,250.5

    Commas must group digits in threes. 1,234 is read as one thousand two hundred thirty-four.

  • Supported
    Scientific notation1.5e6

    Useful for very large or very small values (1.5e6 = 1,500,000).

  • Not supported
    Comma as decimal mark2,5

    Type 2.5 instead.

  • Not supported
    Fractions1/2

    Type 0.5 instead.

  • Not supported
    Numbers with unit text5 km

    Enter only the number and choose the unit from the dropdown.

Output

Results use US English formatting (1,234.56) and show up to 6 decimal places with trailing zeros removed. Very small results appear in scientific notation, such as 9.0949e-13, instead of rounding to zero.

Units available in this converter

  • Degree (°)
  • Radian (rad)
  • Gradian (gon)
  • Arc Minute (′)
  • Arc Second (″)

Quick reference tables

Common values for the units currently selected above, in both directions.

Radian to Degree
rad°
00
301,718.873385
452,578.310078
603,437.746771
905,156.620156
18010,313.240312
27015,469.860469
36020,626.480625
Degree to Radian
°rad
00
300.523599
450.785398
601.047198
901.570796
1803.141593
2704.712389
3606.283185

Worked examples

Half a radian

0.5 rad28.64789°
0.5 × 57.29577951 = 28.64789

One radian

1 rad57.29578°
1 × 57.29577951 = 57.29578

Pi radians

3.141593 rad180°
3.141593 × 57.29577951 = 180

Two pi radians

6.283185 rad360°
6.283185 × 57.29577951 = 360

Good to know and limitations

Tips

  • Use degrees = radians × 180/π; JavaScript's trigonometric functions expect radians.
  • Common references are π/2 = 90°, π = 180° and 2π = 360°.
  • Angles are not wrapped to one turn. 450° converts to about 7.853982 rad and is not reduced to 90°.
  • Degrees-minutes-seconds notation such as 40°26′46″ must be entered as a decimal value.
  • Results show up to 6 decimal places. Values are not rounded during calculation, and a non-zero result that would display as 0 is shown in scientific notation.

Frequently asked questions

What is 1 rad in °?

1 Radian (rad) equals 57.29578 Degree (°).

How do I convert Radian to Degree by hand?

Use ° = rad × 57.29577951. For example, 0.5 rad = 28.64789°.

What is 1° in rad?

1 Degree (°) equals 0.017453 Radian (rad). Use the swap button to convert in this direction.

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