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Thread: radius of circumcircle from 3 points formula... can someone explain?

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  1. Apr 13th, 2015, 07:35 AM #1
    Justa Lol
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    radius of circumcircle from 3 points formula... can someone explain?

    Why is it that this formula works?

    Code:
    r=a*b*c/sqrt((a+b-c)(b+c-a)(c+a-b)(a+b+c))
    this formula finds the radius of the circumcircle of a triangle (or three points, combining it with pythagoras), using the lengths of the sides of the triangle.

    I have tested the formula several times, and it seemed to be accurate everytime, but I still don't understand why that is.. could someone help me understand this? How does this result in the radius?
    Last edited by Justa Lol; Apr 13th, 2015 at 07:43 AM.
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