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Degrees to Radians Converter

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

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

Convert degrees to radians

Result: 1 Degree = 0.0174532925 Radian

Explain this result

The calculator converts 1 Degree to Radian and formats the result as 0.0174532925 Radian.

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

Formula

1 deg = 0.0174532925 rad

Degrees to Radians Formula

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

Degrees to Radians Example

Example: convert 1 degrees to radians

Formula: rad = deg ÷ 57.2957795131

Calculation: 1 ÷ 57.2957795131 = 0.0174532925 -> 1 degrees = 0.0174532925 radians

Result: 1 degrees = 0.0174532925 radians

Degrees to Radians Conversion Table

Degrees (deg)Radians (rad)
0.01 deg0.0001745329 rad
0.1 deg0.0017453293 rad
1 deg0.0174532925 rad
2 deg0.034906585 rad
5 deg0.0872664626 rad
10 deg0.1745329252 rad
12 deg0.2094395102 rad
45 deg0.7853981634 rad
90 deg1.5707963268 rad
100 deg1.745329252 rad

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 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.

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.

Degrees to Radians FAQ

How do you convert degree to radian?

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

What is 1 degree in radian?

1 deg equals 0.0174532925 rad.

How many degrees are in 1 radian?

1 rad equals 57.2957795131 deg.

What does deg to rad mean?

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

More angle conversions

Reverse conversion

  • radians to degrees

Convert degrees to other units

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

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