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Degrees to Radians Converter

Convert degrees (°) to radians (rad) instantly — type a value below.

1 degree (°) = 0.01745329252 radians (rad)
1 radian (rad) = 57.29577951 degrees (°)
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How to convert degrees to radians

To convert degrees to radians, use this formula:

rad = ° × 0.01745329252 (or divide by 57.29577951)

Examples

Degrees to Radians conversion chart

Degrees (°)Radians (rad)
0.1 °0.00174533 rad
0.25 °0.00436332 rad
0.5 °0.00872665 rad
1 °0.0174533 rad
2 °0.0349066 rad
3 °0.0523599 rad
4 °0.0698132 rad
5 °0.0872665 rad
6 °0.10472 rad
7 °0.122173 rad
8 °0.139626 rad
9 °0.15708 rad
10 °0.174533 rad
12 °0.20944 rad
15 °0.261799 rad
20 °0.349066 rad
25 °0.436332 rad
30 °0.523599 rad
40 °0.698132 rad
50 °0.872665 rad
60 °1.0472 rad
70 °1.22173 rad
75 °1.309 rad
80 °1.39626 rad
90 °1.5708 rad
100 °1.74533 rad
150 °2.61799 rad
200 °3.49066 rad
250 °4.36332 rad
500 °8.72665 rad
1,000 °17.4533 rad

About the units

Degree (°)

A degree is 1/360 of a full turn. It is the everyday unit for angles in geometry, navigation and construction.

Radian (rad)

A radian is the angle at which the arc length equals the radius, about 57.2958°. A full turn is 2π radians. It is the standard angle unit in mathematics and physics.

Frequently asked questions

How do I convert degrees to radians?
Multiply the number of degrees by 0.01745329252. For example, 5 ° = 0.0872665 rad.
How many radians are in one degree?
One degree equals 0.01745329252 radians.
What is 12 ° in radians?
12 degrees equals 0.20944 radians.
How do I convert radians back to degrees?
Use the reverse Radians to Degrees converter: multiply radians by 57.29577951.

Need other units? Use the full angle converter.