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Convert Degrees to Radians

deg\text{deg}
=
rad\text{rad}

Degree (deg)

A degree is a unit of angle equal to 1/360 of a full rotation. It is the most commonly used unit in day-to-day angle measurements.

Radian (rad)

A radian is the SI unit of angular measure. One radian is the angle created when the arc length equals the radius of a circle.

Degrees to Radians Conversion Table

Degrees (deg)Radians (rad)
10.01745
20.03491
50.08727
100.17453
200.34907
500.87266
1001.74533
2504.36332
5008.72665
100017.45329

How to Convert Degrees to Radians

Conversion factor:

1 deg=0.01745 rad1\,\text{deg} = 0.01745\,\text{rad}

Inverse factor:

1 rad=57.29578 deg1\,\text{rad} = 57.29578\,\text{deg}

Example

Convert 15 deg to rad:

rad=deg×0.01745\text{rad} = \text{deg} \times 0.01745
rad=15×0.01745\text{rad} = 15 \times 0.01745
rad=0.2618\text{rad} = 0.2618
=0.2618 rad= 0.2618 \, \text{rad}

All conversions from Degrees (deg)