Conversion of radians to degrees. Formula

Conversion of radians to degrees

Or:

Conversion of radians to degrees

 

π rad = 180°

Formula for converting degrees to radians

Formula for converting degrees to radians

Or:

 Formula for converting degrees to radians

1 radian in degrees

1 radian

1 degree in radians

1 degree in radians

1 radian in seconds

1 radian in seconds

More specifically:

1 radian in seconds

1 radian in minutes

1 radian in minutes

More specifically:

1 radian in minutes

An example of converting radians to degrees

 

Convert 2π rad to degrees.

Let us use the first formula:

Conversion of radians to degrees

We substitute 2π for x. We find:

An example of converting radians to degrees

Therefore, the conversion of 2π rad to degrees results in 360 degrees.

 

Now let us use the second formula:

Conversion of radians to degrees

For α, we substitute a value to be converted to degrees, i.e. α = 2π.

We find:

Формула перевода радианов в градусы

So we obtain the same result: 2π equals 360 degrees.

An example of converting degrees to radians

 

Convert 360 degrees to radians.

Let us use the first formula:

Formula for converting degrees to radians

For x, substitute 360. We find:

An example of converting degrees to radians

So, the conversion of 360 degrees to radians results in 2π rad.

 

Now let us use the second formula:

Formula for converting degrees to radians

For x in the formula, we substitute a value to be converted to degrees, i.e., x = 360.

We find:

An example of converting degrees to radians 

This way we obtain the same result: 360 degrees equals 2π rad.