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Radians to Degrees Converter

To convert radians to degrees, use deg = rad × 57.2957795131. This Radians to Degrees page gives a calculator, formula, table, and worked example for rad to deg. It also explains the radian to degree relationship so you can convert radians to degrees quickly and check the result.

Use this page to convert radians to degrees, compare rad to deg, and check the radian to degree conversion with a formula, examples, and a reference table.

Convert radians to degrees

Result: 1 Radian = 57.2957795131 Degree

Explain this result

The calculator converts 1 Radian to Degree and formats the result as 57.2957795131 Degree.

  1. 1 Radian x 1 = 1 Radian.
  2. 1 Radian / 0.0174532925 = 57.2957795131 Degree.
  3. The direct relationship is 1 Radian = 57.2957795131 Degree.

Formula

1 rad = 57.2957795131 deg

Radians to Degrees Formula

deg = rad × 57.2957795131
rad = deg ÷ 57.2957795131
1 rad = 57.2957795131 deg
1 deg = 0.0174532925 rad

Radians to Degrees Example

Example: convert 1 radians to degrees

Formula: deg = rad × 57.2957795131

Calculation: 1 × 57.2957795131 = 57.2957795131 -> 1 radians = 57.2957795131 degrees

Result: 1 radians = 57.2957795131 degrees

Radians to Degrees Conversion Table

Radians (rad)Degrees (deg)
0.01 rad0.5729577951 deg
0.1 rad5.7295779513 deg
1 rad57.2957795131 deg
2 rad114.5915590262 deg
3.1415926536 rad180.0000000006 deg
5 rad286.4788975654 deg
6.2831853072 rad360.0000000012 deg
10 rad572.9577951308 deg
12 rad687.549354157 deg
100 rad5,729.5779513082 deg

When this angle conversion is useful

  • Switching between degrees and radians for math, spreadsheets, and code.
  • Checking navigation, surveying, graphics, machining, and geometry references.
  • Converting small angular units such as arc minutes and arc seconds when supported.

Rounding angle results

  • Keep more digits when small angular changes affect distance or alignment.
  • Radians often involve pi, so decimal approximations can accumulate error.
  • Use the source convention for surveying, navigation, or coordinate work.

Angle conversion mistakes

  • Entering degrees into a function that expects radians.
  • Reading arc minutes or arc seconds as time units.
  • Rounding small angles too much before using trigonometric functions.

What is a radian?

The symbol for radian is rad.

A radian is the SI unit for plane angle, based on the ratio between arc length and radius.

It is used in mathematics, physics, engineering, programming, trigonometry, calculus, and rotational calculations.

1 radian equals 180 divided by pi degrees, or about 57.2957795 degrees.

What is a degree?

The symbol for degree is deg.

A degree is an angle unit based on dividing a full circle into 360 equal parts.

It is used for geometry, navigation, maps, surveying, compass headings, graphics, and everyday angle measurements.

1 degree equals pi divided by 180 radians, and 360 degrees make a full circle.

Radians to Degrees FAQ

How do you convert radian to degree?

To convert radians to degrees, use deg = rad × 57.2957795131. This is the main rad to deg formula used by the calculator and table.

What is 1 radian in degree?

1 rad equals 57.2957795131 deg.

How many radians are in 1 degree?

1 deg equals 0.0174532925 rad.

What does rad to deg mean?

rad to deg is the abbreviated form of radian to degree. It uses rad for radian and deg for degree.

More angle conversions

Reverse conversion

  • degrees to radians

Convert other units to degrees

  • gradians to degrees
  • arcminutes to degrees
  • arcseconds to degrees

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