cyclic quadrilateral clear solution for Strawberry Fields by ogoro - python coding challenges

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cyclic quadrilateral solution in Clear category for Strawberry Fields by ogoro

from math import acos, pi


def strawberryfield(a, b, c, d):

    b, d = d, b

    # angle of cyclic quadrilateral:
    # https://en.wikipedia.org/wiki/Cyclic_quadrilateral#Angle_formulas

    alpha_cosine = (a ** 2 + b ** 2 - c ** 2 - d ** 2) / 2 / (a * b + c * d)
    alpha_radians = acos(alpha_cosine)
    alpha_degrees = alpha_radians / pi * 180
    rounded_alpha = round(alpha_degrees, 1)

    return rounded_alpha

April 4, 2021

Comments:

mlahor on Dec. 9, 2021, 11:10 p.m.
A really straightforward solution if you know the corresponding formula :-) Now I learned that the cyclic quadrilateral has the biggest area of all the quadrilaterals with the same sides :-) (I solved the problem by calculating the quadrilateral area for all alphas between 0 and 180 deg with the step of 0.1 since that was the required precision.)

ogoro on Dec. 10, 2021, 12:31 a.m.
Thank you for interesting and detailed feedback! I have liked your solution too))

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