Python/maths/area.py

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"""
Find the area of various geometric shapes
"""
from math import pi
def surface_area_cube(side_length: float) -> float:
"""
Calculate the Surface Area of a Cube.
>>> surface_area_cube(1)
6
>>> surface_area_cube(3)
54
"""
return 6 * side_length ** 2
def surface_area_sphere(radius: float) -> float:
"""
Calculate the Surface Area of a Sphere.
Wikipedia reference: https://en.wikipedia.org/wiki/Sphere
:return 4 * pi * r^2
>>> surface_area_sphere(5)
314.1592653589793
>>> surface_area_sphere(1)
12.566370614359172
"""
return 4 * pi * radius ** 2
def area_rectangle(length: float, width: float) -> float:
"""
Calculate the area of a rectangle
>>> area_rectangle(10,20)
200
"""
return length * width
def area_square(side_length: float) -> float:
"""
Calculate the area of a square
>>> area_square(10)
100
"""
return side_length ** 2
def area_triangle(base: float, height: float) -> float:
"""
Calculate the area of a triangle
>>> area_triangle(10,10)
50.0
"""
return (base * height) / 2
def area_parallelogram(base: float, height: float) -> float:
"""
Calculate the area of a parallelogram
>>> area_parallelogram(10,20)
200
"""
return base * height
def area_trapezium(base1: float, base2: float, height: float) -> float:
"""
Calculate the area of a trapezium
>>> area_trapezium(10,20,30)
450.0
"""
return 1 / 2 * (base1 + base2) * height
def area_circle(radius: float) -> float:
"""
Calculate the area of a circle
>>> area_circle(20)
1256.6370614359173
"""
return pi * radius ** 2
def main():
print("Areas of various geometric shapes: \n")
print(f"Rectangle: {area_rectangle(10, 20)}")
print(f"Square: {area_square(10)}")
print(f"Triangle: {area_triangle(10, 10)}")
print(f"Parallelogram: {area_parallelogram(10, 20)}")
print(f"Trapezium: {area_trapezium(10, 20, 30)}")
print(f"Circle: {area_circle(20)}")
print("\nSurface Areas of various geometric shapes: \n")
print(f"Cube: {surface_area_cube(20)}")
print(f"Sphere: {surface_area_sphere(20)}")
if __name__ == "__main__":
import doctest
doctest.testmod(verbose=True) # verbose so we can see methods missing tests
main()