Or:

# Formula for converting degrees to radians

Or:

More specifically:

More specifically:

# Convert 2π rad to degrees.

Let us use the first formula:

We substitute 2π for x. We find:

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

Now let us use the second formula:

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

We find:

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

# Convert 360 degrees to radians.

Let us use the first formula:

For x, substitute 360. We find:

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

Now let us use the second formula:

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

We find:

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