Degree to Radian Converter

Radian to Degree
1 Degree = 0.017453292519943 Radians

How many Radians are in 1 Degree?

One Degree equals 0.017453292519943 Radians. You can also write this as 1 Degree = 0.017453292519943 Radians. Use the calculator to convert Degree to Radian instantly.
Use this Degree to Radian converter to change a value from Degree into Radian. Enter the measurement, review the result, and use the conversion when comparing values or checking a formula.
This conversion is useful when a measurement is recorded in Degree but a report, specification, or calculation requires Radian. The page includes the unit definitions, a worked example, and a conversion table for related units.
Use the result as a reference and check the displayed precision before copying it into technical or scientific work. The last digits may be rounded for readability.
Degree and Radian describe the same angle measurement in different units. Converting between them makes values easier to compare when different unit systems are used.

How to convert Degree to Radian (deg to rad)

To convert Degree to Radian, multiply by 0.017453292519943. The formula is Degree × 0.017453292519943 = Radian. See the example below.

1 Degree = 1 × 0.017453292519943 = 0.017453292519943 Radians

Degree is a unit of measurement of plane angle. One full rotation is considered as 360 degrees. The degree is also referred as degree of arc, arcdegree or arcdegree. The specific reason of choosing degree as a unit of rotations and angles is pretty unclear, but as per historical facts, 360 is approximately the number of days in a year. The symbol for Degree is deg.
Radian is a unit of angular measurement. One radian is basically the measurement of central angle which intercepts arc s that is equal to radius r of a circle. The symbol for Radian is rad.

How to Use Degree to Radian Converter

  • Select Degree from the first dropdown and enter the value you want to convert.
  • Choose Radian in the second dropdown to set the target unit.
  • Review the converted value in the output field.
  • Check the displayed precision before using the result in another calculation.
For another result, change the input value or either selected unit. The conversion uses the unit definitions in the calculator and formats the result for display.

Example of Degree to Radian Conversion

Degree

1

Radian

0.017453292519943

Frequently asked questions about Degree to Radian conversion

What does the Degree to Radian conversion show?
It shows the equivalent value of one unit in another unit, making it easier to compare measurements and check calculations across different scales.
When should I use a Degree to Radian converter?
Use it when you need to compare values, convert technical data, or switch between units used in different settings or systems.
Is this Degree to Radian calculator accurate?
It applies the conversion relationship used by the calculator and formats the result for display. Verify the shown precision when the value is used in technical or scientific work.

Degree to Radian Conversion Table

Degree [deg]Radian [rad]Description
1 Degree0.017453292519943 Radian1 Degree = 0.017453292519943 Radian
2 Degree0.034906585039887 Radian2 Degree = 0.034906585039887 Radian
3 Degree0.05235987755983 Radian3 Degree = 0.05235987755983 Radian
4 Degree0.069813170079773 Radian4 Degree = 0.069813170079773 Radian
5 Degree0.087266462599716 Radian5 Degree = 0.087266462599716 Radian
6 Degree0.10471975511966 Radian6 Degree = 0.10471975511966 Radian
7 Degree0.1221730476396 Radian7 Degree = 0.1221730476396 Radian
8 Degree0.13962634015955 Radian8 Degree = 0.13962634015955 Radian
9 Degree0.15707963267949 Radian9 Degree = 0.15707963267949 Radian
10 Degree0.17453292519943 Radian10 Degree = 0.17453292519943 Radian
100 Degree1.75 Radian100 Degree = 1.75 Radian
1000 Degree17.45 Radian1000 Degree = 17.45 Radian

Degree to Other Units Conversion Table

ConversionDescription
1 Degree = 60 Arcmin1 Degree in Arcmin is equal to 60
1 Degree = 3600 Arcsecond1 Degree in Arcsecond is equal to 3600
1 Degree = 0.0027777777777778 Cycle1 Degree in Cycle is equal to 0.0027777777777778
1 Degree = 1.11 Gradian1 Degree in Gradian is equal to 1.11
1 Degree = 1.11 Gon1 Degree in Gon is equal to 1.11
1 Degree = 0.022222222222222 Octant1 Degree in Octant is equal to 0.022222222222222
1 Degree = 0.011111111111111 Quadrant1 Degree in Quadrant is equal to 0.011111111111111
1 Degree = 0.017453292519943 Radian1 Degree in Radian is equal to 0.017453292519943
1 Degree = 0.016666666666667 Sextant1 Degree in Sextant is equal to 0.016666666666667
1 Degree = 0.033333333333333 Sign1 Degree in Sign is equal to 0.033333333333333
1 Degree = 0.0027777777777778 Turn1 Degree in Turn is equal to 0.0027777777777778
1 Degree = 0.027777777777778 Circle 1/101 Degree in Circle 1/10 is equal to 0.027777777777778
1 Degree = 0.044444444444444 Circle 1/161 Degree in Circle 1/16 is equal to 0.044444444444444
1 Degree = 0.0055555555555556 Circle 1/21 Degree in Circle 1/2 is equal to 0.0055555555555556
1 Degree = 0.011111111111111 Circle 1/41 Degree in Circle 1/4 is equal to 0.011111111111111
1 Degree = 0.016666666666667 Circle 1/61 Degree in Circle 1/6 is equal to 0.016666666666667
1 Degree = 0.022222222222222 Circle 1/81 Degree in Circle 1/8 is equal to 0.022222222222222
1 Degree = 0.0027777777777778 Full Circle1 Degree in Full Circle is equal to 0.0027777777777778
1 Degree = 17.78 Mil1 Degree in Mil is equal to 17.78
1 Degree = 60 Minute1 Degree in Minute is equal to 60
1 Degree = 0.088888888888889 Point1 Degree in Point is equal to 0.088888888888889
1 Degree = 3600 Second1 Degree in Second is equal to 3600

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