Radian To Degree Measure

In radians, one complete revolution is 2π and in degrees, one complete revolution is 360°. In some situations, it becomes mandatory to convert radians into degrees. Degree and radian measures are related to each other as follows:

360°=2π and

180°=π radians

From above, we have 1 radian= (180/π)^{ 0}

**Radian**

Radian is a unit for angles measure. The angle made at the center of a circle by an arc whose length is equal to the radius of the circle is equal to One radian. It is used instead of degrees.

1 radian = 57.3R degrees

**Degrees**

The degree is a measurement unit of angles. A complete circle is divided into 360 **degrees**.

One degree is equal 0.01745329252 radians.

1° = π/180° = 0.005555556π = 0.01745329252 rad

The general formula to convert radian into degree is to simply multiply the given number of degrees by 180°/π.

**For Example: Convert 3 radians angle to degrees**.

α (degrees) = α(radian) × 180°/π

= 3 × 180°/3.14159

= 171.88733854°

**For Example: Convert 58 radians angle to degrees**.

= 58×180°/π

= 3323.1552118°

**For Example: Convert 177 radians angle to degrees**.

= 177×180°/π

= 10141.352974°

**For Example: Convert 614 radians angle to degrees**.

= 614×180°/π

= 35179.608621°

**For Example: Convert 4196 radians angle to degrees**.

= 4196×180°/π

= 240413.09084°