geometric_lib

This library provides functions to calculate the area and perimeter of various geometric shapes.

Available Shapes

Circle

• Area:

  • Formula: S = pi R^2
  • Function: circle.area(r)
  • Parameters:
    • r (int, float): The radius of the circle.
  • Returns: The area of the circle.

• Perimeter:

  • Formula: P = 2pi R
  • Function: circle.perimeter(r)
  • Parameters:
    • r (int, float): The radius of the circle.
  • Returns: The perimeter of the circle.

Rectangle

• Area:

  • Formula: S = ab
  • Function: rectangle.area(a, b)
  • Parameters:
    • a (int, float): One side of the rectangle.
    • b (int, float): The other side of the rectangle.
  • Returns: The area of the rectangle.

• Perimeter:

  • Formula: P = 2a + 2b
  • Function: rectangle.perimeter(a, b)
  • Parameters:
    • a (int, float): One side of the rectangle.
    • b (int, float): The other side of the rectangle.
  • Returns: The perimeter of the rectangle.

Square

• Area:

  • Formula: S = a^2
  • Function: square.area(a)
  • Parameters:
    • a (int, float): The side of the square.
  • Returns: The area of the square.

• Perimeter:

  • Formula: P = 4a
  • Function: square.perimeter(a)
  • Parameters:
    • a (int, float): The side of the square.
  • Returns: The perimeter of the square.

Triangle

• Area:

  • Formula: S = ah/2
  • Function: triangle.area(a, h)
  • Parameters:
    • a (int, float): The base of the triangle.
    • h (int, float): The height of the triangle.
  • Returns: The area of the triangle.

• Perimeter:

  • Formula: P = a + b + c
  • Function: triangle.perimeter(a, b, c)
  • Parameters:
    • a, b, c (int, float): The lengths of the sides of the triangle.
  • Returns: The perimeter of the triangle.

Trapezoid

• Area:

  • Formula: S = (a + b)h/2
  • Function: trapezoid.area(a, b, h)
    • Parameters:
    • a, b (int, float): The lengths of the two bases.
    • h (int, float): The height of the trapezoid.
  • Returns: The area of the trapezoid.

• Perimeter:

  • Formula: P = a + b + c + d
  • Function: trapezoid.perimeter(a, b, c, d)
  • Parameters:
    • a, b, c, d (int, float): The lengths of all four sides.
  • Returns: The perimeter of the trapezoid.

Rhombus

• Area:

  • Formula: S = d_1 * d_2/2
  • Function: rhombus.area(d1, d2)
  • Parameters:
    • d1, d2 (int, float): The lengths of the diagonals.
  • Returns: The area of the rhombus.

• Perimeter:

  • Formula: P = 4a
  • Function: rhombus.perimeter(a)
  • Parameters:
    • a (int, float): The length of a side.
  • Returns: The perimeter of the rhombus.

Parallelogram

• Area:

  • Formula: S = a * h
  • Function: parallelogram.area(a, h)
  • Parameters:
    • a (int, float): The length of a base.
    • h (int, float): The height.
  • Returns: The area of the parallelogram.

• Perimeter:

  • Formula: P = 2(a + b)
  • Function: parallelogram.perimeter(a, b)
  • Parameters:
    • a, b (int, float): The lengths of the sides.
  • Returns: The perimeter of the parallelogram.

Ellipse

• Area:

  • Formula: S = pi a b
  • Function: ellipse.area(a, b)
  • Parameters:
    • a, b (int, float): The semi-major and semi-minor axes.
  • Returns: The area of the ellipse.

• Perimeter:

  • Approximate formula using Ramanujan's approximation: P = approx pi [3(a + b) - sqrt{(3a + b)(a + 3b)}]
  • Function: ellipse.perimeter(a, b)
  • Parameters:
    • a, b (int, float): The semi-major and semi-minor axes.
  • Returns: The approximate perimeter of the ellipse.

Running Tests

To run tests for this library:

1. Make sure you have Python installed on your machine.
2. Navigate to the directory containing your tests.
3. Run the following command: python3 -m unittest discover -s tests