# How to Convert Radians to Degrees and Vice-Versa in Python

Manav Narula Feb 02, 2024

Degrees and radians are two of the highly used units to represent angles. The representation between these two units is shown below.

In this tutorial, we will discuss how to convert degree to radian and vice-versa.

## Use the `math` Module in Python to Convert Degree to Radian and Vice-Versa

It is straightforward to implement their relations manually in Python. We can use the `math` library for the required constants if we are not familiar with them. For example,

``````print((math.pi / 2) * 180.0 / math.pi)  # Rad to Deg
print(90 * math.pi / 180.0)  # Deg to Rad
``````

Output:

``````90.0
1.5707963267948966
``````

Note that the `math.pi` returns the mathematical constant pi and can be replaced by its value 3.141592….

We can also use different functions from the `math` library to carry out these conversions.

The `math.degrees()` function will convert the radian value passed to it into degree. For example,

``````import math

print(math.degrees(math.pi / 2))
``````

Output:

``````90.0
``````

The `math.radians()` function will do the opposite and convert the degree value to radians. For example,

``````import math

``````

Output:

``````1.5707963267948966
``````

## Use the `NumPy` Module to Convert Degree to Radian and Vice-Versa

The `NumPy` module is also equipped with different functions to convert between radian and degree values. The `numpy.degrees()` function converts radians to degree and can accept an array or list of values at once.

Similarly, the `numpy.radians()` function converts degree to radians and can also accept an array or list of values.

The following code shows an example of these two functions.

``````import numpy

lst1 = [math.pi / 2, math.pi]

lst2 = [90, 180]
``````

Output:

``````[ 90. 180.]
[1.57079633 3.14159265]
``````

This module also has `deg2rad()` and `rad2deg()` functions used to perform the same function but have a more descriptive name.

Author: Manav Narula

Manav is a IT Professional who has a lot of experience as a core developer in many live projects. He is an avid learner who enjoys learning new things and sharing his findings whenever possible.