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54 changes: 54 additions & 0 deletions maths/area.py
Original file line number Diff line number Diff line change
Expand Up @@ -135,6 +135,32 @@ def surface_area_cone(radius: float, height: float) -> float:
return pi * radius * (radius + (height**2 + radius**2) ** 0.5)


def lateral_surface_cone(radius: float, height: float) -> float:
"""
Calculate the Lateral Surface Area of a Cone.
Wikipedia reference: https://en.wikipedia.org/wiki/Cone
Formula: pi * r * (h ** 2 + r ** 2) ** 0.5

>>> lateral_surface_cone(10, 20)
702.4814731040726
>>> lateral_surface_cone(6, 8)
188.49555921538757
>>> lateral_surface_cone(0, 0)
0.0
>>> lateral_surface_cone(1, -2)
Traceback (most recent call last):
...
ValueError: lateral_surface_cone() only accepts non-negative values
>>> lateral_surface_cone(-1, 2)
Traceback (most recent call last):
...
ValueError: lateral_surface_cone() only accepts non-negative values
"""
if radius < 0 or height < 0:
raise ValueError("lateral_surface_cone() only accepts non-negative values")
return pi * radius * (height**2 + radius**2) ** 0.5


def surface_area_conical_frustum(
radius_1: float, radius_2: float, height: float
) -> float:
Expand Down Expand Up @@ -202,6 +228,32 @@ def surface_area_cylinder(radius: float, height: float) -> float:
return 2 * pi * radius * (height + radius)


def lateral_surface_cylinder(radius: float, height: float) -> float:
"""
Calculate the Lateral Surface Area of a Cylinder.
Wikipedia reference: https://en.wikipedia.org/wiki/Cylinder
Formula: 2 * pi * r * h

>>> lateral_surface_cylinder(10, 20)
702.4814731040726
>>> lateral_surface_cylinder(6, 8)
301.59289474462014
>>> lateral_surface_cylinder(0, 0)
0.0
>>> lateral_surface_cylinder(1, -2)
Traceback (most recent call last):
...
ValueError: lateral_surface_cylinder() only accepts non-negative values
>>> lateral_surface_cylinder(-1, 2)
Traceback (most recent call last):
...
ValueError: lateral_surface_cylinder() only accepts non-negative values
"""
if radius < 0 or height < 0:
raise ValueError("lateral_surface_cylinder() only accepts non-negative values")
return 2 * pi * radius * height


def surface_area_torus(torus_radius: float, tube_radius: float) -> float:
"""Calculate the Area of a Torus.
Wikipedia reference: https://en.wikipedia.org/wiki/Torus
Expand Down Expand Up @@ -576,8 +628,10 @@ def area_reg_polygon(sides: int, length: float) -> float:
print(f"Sphere: {surface_area_sphere(20) = }")
print(f"Hemisphere: {surface_area_hemisphere(20) = }")
print(f"Cone: {surface_area_cone(10, 20) = }")
print(f"Cone, lateral: {lateral_surface_cone(10, 20) = }")
print(f"Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }")
print(f"Cylinder: {surface_area_cylinder(10, 20) = }")
print(f"Cylinder, lateral: {lateral_surface_cylinder(10, 20) = }")
print(f"Torus: {surface_area_torus(20, 10) = }")
print(f"Equilateral Triangle: {area_reg_polygon(3, 10) = }")
print(f"Square: {area_reg_polygon(4, 10) = }")
Expand Down
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