We are going to import a lot of things from the math module thus to keep it structured we shall group them as tuples though it will work fine anyway.

math_module.py

# import objects from the math lib
# making use of some constants such as `pi` and `e`,
# some trig function like the cosine and sine
# and other functions

from math import (
    pi, e,
    cos, sin, tan,
    sqrt, pow, exp,
    gcd, factorial
)

# pi and e

# area of a circle = pi times radius square
radius = 7  # cm
# area = pi * radius ** 2
# area = pi * radius * radius
area = pi * pow(radius, 2)

print(f"The area of the circle of radius, {radius} is {round(area,2)}cm^2")

print(end='\n\n')

# e(n) for some integer `n` , is the same as e ** n, pow(e, n) and e * e * ...n
# lets check if they are actually
if e * e == pow(e, 2) == e ** 2:
    result = "Cool, e ** n, pow(e, n) and e * e * ...n"
    result += " all the same"
else:
    result = "Sorry, they are not the same"

print(result, end='\n\n')

# cos, sin and tan
# given that theta is 60 degree
theta = 60  # degree
print(f"Trig table for degree, {theta}")
print("-------------------------")
print(f"cos({theta}) {cos(theta)}")
print(f"sin({theta}) {sin(theta)}")
print(f"tan({theta}) {tan(theta)}")

print(end='\n\n')

# gcd and factorial
# we shall roughly make use of type hinting

# gcd of 81 and 72
first_int: int = 81
second_int: int = 72
gcd_int: int = gcd(first_int, second_int)

print(f"the gcd  of {first_int} and {second_int} is {gcd_int}")

# the factorial of gcd_int
fact_int: int = factorial(gcd_int)
print(f"The factorial, {gcd_int}!, is {fact_int}")