Function area_reg_polygon

maths/area.py:513–554

Calculate the area of a regular polygon. Wikipedia reference: https://en.wikipedia.org/wiki/Polygon#Regular_polygons Formula: (n*s^2*cot(pi/n))/4 >>> area_reg_polygon(3, 10) 43.301270189221945 >>> area_reg_polygon(4, 10) 100.00000000000001 >>> area_reg_poly

(sides: int, length: float)

def area_reg_polygon(sides: int, length: float) -> float:
    """
    Calculate the area of a regular polygon.
    Wikipedia reference: https://en.wikipedia.org/wiki/Polygon#Regular_polygons
    Formula: (n*s^2*cot(pi/n))/4

    >>> area_reg_polygon(3, 10)
    43.301270189221945
    >>> area_reg_polygon(4, 10)
    100.00000000000001
    >>> area_reg_polygon(0, 0)
    Traceback (most recent call last):
        ...
    ValueError: area_reg_polygon() only accepts integers greater than or equal to \
three as number of sides
    >>> area_reg_polygon(-1, -2)
    Traceback (most recent call last):
        ...
    ValueError: area_reg_polygon() only accepts integers greater than or equal to \
three as number of sides
    >>> area_reg_polygon(5, -2)
    Traceback (most recent call last):
        ...
    ValueError: area_reg_polygon() only accepts non-negative values as \
length of a side
    >>> area_reg_polygon(-1, 2)
    Traceback (most recent call last):
        ...
    ValueError: area_reg_polygon() only accepts integers greater than or equal to \
three as number of sides
    """
    if not isinstance(sides, int) or sides < 3:
        raise ValueError(
            "area_reg_polygon() only accepts integers greater than or \
equal to three as number of sides"
        )
    elif length < 0:
        raise ValueError(
            "area_reg_polygon() only accepts non-negative values as \
length of a side"
        )
    return (sides * length**2) / (4 * tan(pi / sides))


if __name__ == "__main__":