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Three Points Circle solution in Clear category for Three Points Circle by narimiran
def checkio(data):
(x1, y1), (x2, y2), (x3, y3) = eval(data)
d = 2 * (x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2))
# https://en.wikipedia.org/wiki/Circumscribed_circle#Circumcenter_coordinates
cx = ((x1**2 + y1**2) * (y2 - y3) +
(x2**2 + y2**2) * (y3 - y1) +
(x3**2 + y3**2) * (y1 - y2)) / d
cy = ((x1**2 + y1**2) * (x3 - x2) +
(x2**2 + y2**2) * (x1 - x3) +
(x3**2 + y3**2) * (x2 - x1)) / d
r = ((x1 - cx)**2 + (y1 - cy)**2) ** 0.5
return '(x-{:g})^2+(y-{:g})^2={:g}^2'.format(round(cx, 2),
round(cy, 2),
round(r, 2))
#These "asserts" using only for self-checking and not necessary for auto-testing
if __name__ == '__main__':
assert checkio("(2,2),(6,2),(2,6)") == "(x-4)^2+(y-4)^2=2.83^2"
assert checkio("(3,7),(6,9),(9,7)") == "(x-6)^2+(y-5.75)^2=3.25^2"
April 10, 2016
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