**In this tutorial, you’ll learn how to use Python to convert degrees to radians and radians to degrees.** You’ll learn what the relationship between degrees and radians is. Then you’ll learn how to use `math`

library and the `numpy`

library to use Python to convert degrees to radians and radians to degrees.

**The Quick Answer: Use math.radians() and math.degrees()**

## What are degrees and radians?

Degrees and radians are commonly used metrics that are used to represent angles. Because of their utility, its helpful to know how to convert between them.

The formula used to calculate a degree, with a known radian is:

`degrees = r * (180° / pi)`

The formula used to calculate a radian, with a known number of degrees:

`radians = degrees * (pi / 180°)`

Now that you know the relationship between degrees and radians, let’s explore how to convert between them using the `math`

library.

**Want to learn more about calculating the square root in Python?** Check out my tutorial here, which will teach you different ways of calculating the square root, both without Python functions and with the help of functions.

## Use Math to Convert Degrees to Radians

The `math`

library comes with a helpful function, `radians()`

, that allows us to convert between degrees and radians. The `math.radians()`

function takes a single input, a value that represents a degree, and returns a value that represents a radian.

Let’s try a few practical examples. We know, based on the formula, that if we were to pass in the value of `pi`

, that we should be able to return the value of `180`

.

Let’s give this a shot by using the `math`

library’s `pi`

constant, which can be accessed by `math.pi`

:

```
# Use math to convert degrees to radians
import math
print(math.degrees(math.pi))
# Returns: 180.0
```

We can see here that the correct value is returned. Now let’s try passing in another value:

```
# Use math to convert degrees to radians
import math
print(math.degrees(3))
# Returns: 171.88733853924697
```

In the next section, you’ll learn how to use the `math`

library to convert from radians to degrees.

**Want to learn more about Python for-loops?** Check out my in-depth tutorial that takes your from beginner to advanced for-loops user! Want to watch a video instead? Check out my YouTube tutorial here.

## Use Math to Convert Radians to Degrees

Similar to how the `math`

library has a function to convert radians into degrees, we can use the `radians`

function to convert degrees into radians.

We know, based on the formula, that if we pass in the value of `180`

degrees, that the value of `pi`

should be returned.

Let’s try doing this using Python:

```
# Use math to convert radians to degrees
import math
print(math.radians(180))
# Returns: 3.141592653589793
```

Now that we have confirmed this, let’s try passing in another value:

```
# Use math to convert radians to degrees
import math
print(math.radians(90))
# Returns: 1.5707963267948966
```

In the next section, you’ll learn how to convert degrees to radians using Python and numpy.

**Want to learn more about Python list comprehensions?** Check out this in-depth tutorial that covers off everything you need to know, with hands-on examples. More of a visual learner, check out my YouTube tutorial here.

## Use Numpy to Convert Radians to Degrees

Similar to how the `math`

library comes with built-in functions to convert between radians and degrees, the popular numerical library `numpy`

comes with similar functions.

In order to use `numpy`

to convert from degrees to radians, we can use the `radians()`

function.

Let’s try again to convert the value of `pi`

to see if it returns the value of 180:

```
# Use numpy to convert radians to degrees
import numpy as np
import math
print(np.degrees(math.pi))
# Returns: 180.0
```

Now let’s try another numpy to see its result:

```
# Use numpy to convert radians to degrees
import numpy as np
print(np.degrees(3))
# Returns: 171.88733853924697
```

In the next section, you’ll use numpy to convert radians to degrees.

**Need to check if a key exists in a Python dictionary?** Check out this tutorial, which teaches you five different ways of seeing if a key exists in a Python dictionary, including how to return a default value.

## Use Numpy to Convert Degrees to Radians

Similar to using numpy to convert degrees to radians, we can also use numpy to convert radians to degrees. For this, we’ll use the `np.radians()`

function. This function takes a single input, a value that represents radians, and returns a single output, a value that represents degrees.

Let’s pass in the value of 180 again and see if it returns the value of `pi`

:

```
# Use numpy to convert degrees to radians
import numpy as np
print(np.radians(180))
# Returns: 3.141592653589793
```

Now that that’s confirmed, let’s check another value:

```
# Use numpy to convert degrees to radians
import numpy as np
print(np.radians(90))
# Returns: 1.5707963267948966
```

**Want to learn how to pretty print a JSON file using Python?** Learn three different methods to accomplish this using this in-depth tutorial here.

## Conclusion

In this tutorial, you learned how to use Python to convert radians to degrees and degrees to radians. You also learned how to use both the `math`

and `numpy`

libraries to convert radians to degrees.

To learn more about the `math`

library, check out the official documentation here.