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Included area of n sided regular polygon (#7438)
* Included area of n sided regular polygon Added a function to calculate the area of n sided regular polygons * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * code standard fixes as per PR comments * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
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Mislah
GitHub
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@ -1,12 +1,14 @@
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"""
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Find the area of various geometric shapes
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Wikipedia reference: https://en.wikipedia.org/wiki/Area
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"""
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from math import pi, sqrt
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from math import pi, sqrt, tan
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def surface_area_cube(side_length: float) -> float:
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"""
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Calculate the Surface Area of a Cube.
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>>> surface_area_cube(1)
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6
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>>> surface_area_cube(1.6)
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@ -28,6 +30,7 @@ def surface_area_cube(side_length: float) -> float:
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def surface_area_cuboid(length: float, breadth: float, height: float) -> float:
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"""
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Calculate the Surface Area of a Cuboid.
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>>> surface_area_cuboid(1, 2, 3)
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22
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>>> surface_area_cuboid(0, 0, 0)
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@ -57,6 +60,7 @@ def surface_area_sphere(radius: float) -> float:
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Calculate the Surface Area of a Sphere.
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Wikipedia reference: https://en.wikipedia.org/wiki/Sphere
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Formula: 4 * pi * r^2
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>>> surface_area_sphere(5)
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314.1592653589793
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>>> surface_area_sphere(1)
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@ -79,6 +83,7 @@ def surface_area_hemisphere(radius: float) -> float:
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"""
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Calculate the Surface Area of a Hemisphere.
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Formula: 3 * pi * r^2
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>>> surface_area_hemisphere(5)
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235.61944901923448
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>>> surface_area_hemisphere(1)
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@ -102,6 +107,7 @@ def surface_area_cone(radius: float, height: float) -> float:
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Calculate the Surface Area of a Cone.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cone
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Formula: pi * r * (r + (h ** 2 + r ** 2) ** 0.5)
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>>> surface_area_cone(10, 24)
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1130.9733552923256
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>>> surface_area_cone(6, 8)
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@ -133,6 +139,7 @@ def surface_area_conical_frustum(
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) -> float:
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"""
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Calculate the Surface Area of a Conical Frustum.
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>>> surface_area_conical_frustum(1, 2, 3)
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45.511728065337266
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>>> surface_area_conical_frustum(4, 5, 6)
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@ -167,6 +174,7 @@ def surface_area_cylinder(radius: float, height: float) -> float:
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Calculate the Surface Area of a Cylinder.
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Wikipedia reference: https://en.wikipedia.org/wiki/Cylinder
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Formula: 2 * pi * r * (h + r)
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>>> surface_area_cylinder(7, 10)
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747.6990515543707
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>>> surface_area_cylinder(1.6, 2.6)
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@ -196,6 +204,7 @@ def surface_area_cylinder(radius: float, height: float) -> float:
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def area_rectangle(length: float, width: float) -> float:
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"""
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Calculate the area of a rectangle.
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>>> area_rectangle(10, 20)
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200
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>>> area_rectangle(1.6, 2.6)
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@ -223,6 +232,7 @@ def area_rectangle(length: float, width: float) -> float:
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def area_square(side_length: float) -> float:
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"""
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Calculate the area of a square.
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>>> area_square(10)
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100
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>>> area_square(0)
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@ -242,6 +252,7 @@ def area_square(side_length: float) -> float:
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def area_triangle(base: float, height: float) -> float:
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"""
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Calculate the area of a triangle given the base and height.
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>>> area_triangle(10, 10)
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50.0
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>>> area_triangle(1.6, 2.6)
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@ -270,6 +281,7 @@ def area_triangle_three_sides(side1: float, side2: float, side3: float) -> float
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"""
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Calculate area of triangle when the length of 3 sides are known.
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This function uses Heron's formula: https://en.wikipedia.org/wiki/Heron%27s_formula
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>>> area_triangle_three_sides(5, 12, 13)
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30.0
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>>> area_triangle_three_sides(10, 11, 12)
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@ -316,6 +328,7 @@ def area_triangle_three_sides(side1: float, side2: float, side3: float) -> float
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def area_parallelogram(base: float, height: float) -> float:
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"""
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Calculate the area of a parallelogram.
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>>> area_parallelogram(10, 20)
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200
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>>> area_parallelogram(1.6, 2.6)
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@ -343,6 +356,7 @@ def area_parallelogram(base: float, height: float) -> float:
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def area_trapezium(base1: float, base2: float, height: float) -> float:
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"""
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Calculate the area of a trapezium.
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>>> area_trapezium(10, 20, 30)
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450.0
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>>> area_trapezium(1.6, 2.6, 3.6)
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@ -386,6 +400,7 @@ def area_trapezium(base1: float, base2: float, height: float) -> float:
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def area_circle(radius: float) -> float:
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"""
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Calculate the area of a circle.
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>>> area_circle(20)
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1256.6370614359173
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>>> area_circle(1.6)
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@ -405,6 +420,7 @@ def area_circle(radius: float) -> float:
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def area_ellipse(radius_x: float, radius_y: float) -> float:
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"""
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Calculate the area of a ellipse.
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>>> area_ellipse(10, 10)
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314.1592653589793
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>>> area_ellipse(10, 20)
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@ -434,6 +450,7 @@ def area_ellipse(radius_x: float, radius_y: float) -> float:
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def area_rhombus(diagonal_1: float, diagonal_2: float) -> float:
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"""
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Calculate the area of a rhombus.
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>>> area_rhombus(10, 20)
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100.0
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>>> area_rhombus(1.6, 2.6)
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@ -458,6 +475,51 @@ def area_rhombus(diagonal_1: float, diagonal_2: float) -> float:
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return 1 / 2 * diagonal_1 * diagonal_2
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def area_reg_polygon(sides: int, length: float) -> float:
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"""
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Calculate the area of a regular polygon.
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Wikipedia reference: https://en.wikipedia.org/wiki/Polygon#Regular_polygons
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Formula: (n*s^2*cot(pi/n))/4
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>>> area_reg_polygon(3, 10)
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43.301270189221945
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>>> area_reg_polygon(4, 10)
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100.00000000000001
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>>> area_reg_polygon(0, 0)
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Traceback (most recent call last):
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...
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ValueError: area_reg_polygon() only accepts integers greater than or equal to \
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three as number of sides
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>>> area_reg_polygon(-1, -2)
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Traceback (most recent call last):
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...
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ValueError: area_reg_polygon() only accepts integers greater than or equal to \
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three as number of sides
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>>> area_reg_polygon(5, -2)
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Traceback (most recent call last):
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...
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ValueError: area_reg_polygon() only accepts non-negative values as \
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length of a side
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>>> area_reg_polygon(-1, 2)
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Traceback (most recent call last):
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...
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ValueError: area_reg_polygon() only accepts integers greater than or equal to \
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three as number of sides
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"""
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if not isinstance(sides, int) or sides < 3:
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raise ValueError(
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"area_reg_polygon() only accepts integers greater than or \
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equal to three as number of sides"
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)
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elif length < 0:
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raise ValueError(
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"area_reg_polygon() only accepts non-negative values as \
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length of a side"
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)
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return (sides * length**2) / (4 * tan(pi / sides))
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return (sides * length**2) / (4 * tan(pi / sides))
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if __name__ == "__main__":
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import doctest
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@ -481,3 +543,6 @@ if __name__ == "__main__":
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print(f"Cone: {surface_area_cone(10, 20) = }")
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print(f"Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }")
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print(f"Cylinder: {surface_area_cylinder(10, 20) = }")
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print(f"Equilateral Triangle: {area_reg_polygon(3, 10) = }")
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print(f"Square: {area_reg_polygon(4, 10) = }")
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print(f"Reqular Pentagon: {area_reg_polygon(5, 10) = }")
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