""" 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()