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 to 0.01745329252 radians.
1° = π/180° = 0.005555556π = 0.01745329252 rad
The general formula to convert radian into the degree is to simply multiply the given number of degrees by 180°/π.
For Example: Convert 3 radians' angles to degrees.
α (degrees) = α(radian) × 180°/π
= 3 × 180°/3.14159
= 171.88733854°
For Example: Convert 58 radians' angles 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°
