Degrees to Radians Converter

1 ° = 0.01745329252 rad. Type any value below for the exact radians figure.

°
0.0174532925199rad

1 ° = 0.0174532925199 rad

Conversion summary

1 ° = 0.01745329252 rad

Formula
Radian = Degree ÷ 57.2957795131
Category
Angle
Units
° → rad

1 ° in other units

Values update with the converter above. Select a row to open that conversion's detailed page.

How do you convert degrees to radians?

To convert degrees to radians, divide the number of degrees by 57.2957795131. 1 ° = 0.0174533 rad.

Conversion formula

Radian = Degree ÷ 57.2957795131

Degrees to radians conversion table

Degrees (°)Radians (rad)
30 °0.523599 rad
45 °0.785398 rad
60 °1.0472 rad
90 °1.5708 rad
180 °3.14159 rad
270 °4.71239 rad
360 °6.28319 rad

What is Degree?

The degree is the most common practical angle unit, dividing a full circle into 360 equal parts.

Short history of Degree

Its origin traces to ancient Babylonian base-60 mathematics; 360's many divisors made it practical for everyday use.

Open the Degree unit guide

What is Radian?

The radian is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius.

Short history of Radian

Proposed in 1873 by Scottish physicist James Thomson, it was adopted as the SI angle unit for its natural fit in mathematical calculations.

Open the Radian unit guide

Frequently asked questions

What is 1 Degree in Radian?

1 ° = 0.01745329252 rad.

How do you convert Degree to Radian?

To convert degrees to radians, divide the number of degrees by 57.2957795131. 1 ° = 0.0174533 rad.

Frequently asked questions

How many radians are in 1 degree?

1 ° = 0.0174533 rad.

How do you convert degrees to radians?

To convert degrees to radians, divide the number of degrees by 57.2957795131. 1 ° = 0.0174533 rad.

How many degrees are in 1 radian?

1 rad = 57.2958 °.

Sources

  1. BIPM: The International System of Units (SI Brochure)
  2. NIST: Guide for the Use of the International System of Units

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