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Dec 28, 2020
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62 changes: 41 additions & 21 deletions maths/area.py
Original file line number Diff line number Diff line change
@@ -1,13 +1,12 @@
"""
Find the area of various geometric shapes
"""
from math import pi
from math import pi, sqrt


def surface_area_cube(side_length: float) -> float:
"""
Calculate the Surface Area of a Cube.

>>> surface_area_cube(1)
6
>>> surface_area_cube(3)
Expand All @@ -27,7 +26,6 @@ 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)
Expand All @@ -45,7 +43,6 @@ def surface_area_sphere(radius: float) -> float:
def area_rectangle(length: float, width: float) -> float:
"""
Calculate the area of a rectangle

>>> area_rectangle(10, 20)
200
>>> area_rectangle(-1, -2)
Expand All @@ -69,7 +66,6 @@ def area_rectangle(length: float, width: float) -> float:
def area_square(side_length: float) -> float:
"""
Calculate the area of a square

>>> area_square(10)
100
>>> area_square(-1)
Expand All @@ -82,34 +78,61 @@ def area_square(side_length: float) -> float:
return side_length ** 2


def area_triangle(base: float, height: float) -> float:
def area_isosceles_triangle(base: float, height: float) -> float:
"""
Calculate the area of a triangle

>>> area_triangle(10, 10)
Calculate the area of an isosceles triangle
>>> area_isosceles_triangle(10, 10)
50.0
>>> area_triangle(-1, -2)
>>> area_isosceles_triangle(-1, -2)
Traceback (most recent call last):
...
ValueError: area_triangle() only accepts non-negative values
>>> area_triangle(1, -2)
ValueError: area_isosceles_triangle() only accepts non-negative values
>>> area_isosceles_triangle(1, -2)
Traceback (most recent call last):
...
ValueError: area_isosceles_triangle() only accepts non-negative values
>>> area_isosceles_triangle(-1, 2)
Traceback (most recent call last):
...
ValueError: area_isosceles_triangle() only accepts non-negative values
"""
if base < 0 or height < 0:
raise ValueError("area_isosceles_triangle() only accepts non-negative values")
return (base * height) / 2


def area_triangle(side1: float, side2: float, side3: float) -> float:
"""
Calculate area of triangle when 3 sides are known

>>> area_triangle(5, 12, 13)
30.0
>>> area_triangle(-1, -2, -1)
Traceback (most recent call last):
...
ValueError: area_triangle() only accepts non-negative values
>>> area_triangle(-1, 2)
>>> area_triangle(1, -2, 1)
Traceback (most recent call last):
...
ValueError: area_triangle() only accepts non-negative values
"""
if base < 0 or height < 0:
if side1 < 0 or side2 < 0 or side3 < 0:
raise ValueError("area_triangle() only accepts non-negative values")
return (base * height) / 2
elif side1 + side2 < side3 or side1 + side3 < side2 or side2 + side3 < side1:
raise ValueError("Given three sides do not form a triangle")
semi_perimeter = (side1 + side2 + side3) / 2
area = sqrt(
semi_perimeter
* (semi_perimeter - side1)
* (semi_perimeter - side2)
* (semi_perimeter - side3)
)
return area


def area_parallelogram(base: float, height: float) -> float:
"""
Calculate the area of a parallelogram

>>> area_parallelogram(10, 20)
200
>>> area_parallelogram(-1, -2)
Expand All @@ -133,7 +156,6 @@ def area_parallelogram(base: float, height: float) -> float:
def area_trapezium(base1: float, base2: float, height: float) -> float:
"""
Calculate the area of a trapezium

>>> area_trapezium(10, 20, 30)
450.0
>>> area_trapezium(-1, -2, -3)
Expand Down Expand Up @@ -173,7 +195,6 @@ def area_trapezium(base1: float, base2: float, height: float) -> float:
def area_circle(radius: float) -> float:
"""
Calculate the area of a circle

>>> area_circle(20)
1256.6370614359173
>>> area_circle(-1)
Expand All @@ -189,7 +210,6 @@ def area_circle(radius: float) -> float:
def area_ellipse(radius_x: float, radius_y: float) -> float:
"""
Calculate the area of a ellipse

>>> area_ellipse(10, 10)
314.1592653589793
>>> area_ellipse(10, 20)
Expand All @@ -215,7 +235,6 @@ def area_ellipse(radius_x: float, radius_y: float) -> float:
def area_rhombus(diagonal_1: float, diagonal_2: float) -> float:
"""
Calculate the area of a rhombus

>>> area_rhombus(10, 20)
100.0
>>> area_rhombus(-1, -2)
Expand All @@ -240,7 +259,8 @@ 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"Triangle: {area_isosceles_triangle(10, 10)}")
print(f"Triangle: {area_triangle(5, 12, 13)}")
print(f"Parallelogram: {area_parallelogram(10, 20)}")
print(f"Trapezium: {area_trapezium(10, 20, 30)}")
print(f"Circle: {area_circle(20)}")
Expand Down