A circle can be defined by 3 points on that circle. It's easy to construct and bisect lines between the points and find the center, but there should be a formula such as could be used in a simple computer program that could determine the coordinates of the center from the coordinates of any 3 points on the circumference of the circle. Does anyone know where I can find such a formula?
2007-01-31 09:25:09 · 5 answers · asked by Echo of Creation 2 in Science & Mathematics ➔ Mathematics
i don't know the formular but i know that, if u join the adjacent points together to get two joining lines, then construct a perpenticular bisector on both the two lines. where the bisectors intersect is the centre of the circle.
Will that help with your programing?
2007-01-31 09:32:59 · answer #1 · answered by wendywei85 3 · 0⤊ 0⤋
Area (A)= 3.14(Pi) x Diameter (D).
To find the Center, pick a point. Then draw a line 30degrees up and -30 degrees down. You should have 3 perfect points exactly 120 degrees apart. 120x3 = 360 (angle of circle).
Then draw a line between 2 of the 3 points. Draw a line from the point that isn't connected and bisect the line created at exactly 90 degrees (be sure to draw it past the line to the other end of the circle. Find the size of the line that you just created, divide it by 2 (finding the radius). The halfway point of that line will be the exact center of the circle.
2007-01-31 17:36:57 · answer #2 · answered by Sparky 4 · 0⤊ 0⤋
Let A, B, and C be the three points on the circle , one and one circle can pass these three points.
Let AB = c
BC = a
CA = b
The circumcenter of a triangle can be found as the intersection of the three perpendicular bisectors. This is because the circumcenter is equidistant from any pair of the triangle's points, and all points on the perpendicular bisectors are equidistant from those points of the triangle.
The coordinate of Circum center will be ((a^2 (-a^2 + b^2 + c^2), b^2 (a^2 - b^2 + c^2), c^2 (a^2 + b^2 - c^2))
Where symbols have meaning as described above.
I hope it will help.
Thanks,
2007-01-31 17:45:18 · answer #3 · answered by Laeeq 2 · 0⤊ 0⤋
Two of them are C=2pi r and C=pi d
2007-01-31 17:38:32 · answer #4 · answered by Hannah 1 · 0⤊ 0⤋
Go to http://www.ookingdom.com/metric/diameter
This has a great program for it.
2007-01-31 17:34:10 · answer #5 · answered by SickGurl 2 · 0⤊ 0⤋