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Convert Radians to Degrees

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

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.

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.

Radians to Degrees Conversion Table

Radians (rad)Degrees (deg)
157.29578
2114.59156
5286.4789
10572.9578
201145.91559
502864.78898
1005729.57795
25014323.94488
50028647.88976
100057295.77951

How to Convert Radians to Degrees

Conversion factor:

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

Inverse factor:

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

Example

Convert 15 rad to deg:

deg=rad×57.29578\text{deg} = \text{rad} \times 57.29578
deg=15×57.29578\text{deg} = 15 \times 57.29578
deg=859.43669\text{deg} = 859.43669
=859.43669 deg= 859.43669 \, \text{deg}

All conversions from Radians (rad)