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How do you find the center of a circle
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Our forum has been available for many years. In September 2014 we decided to switch it to read-only mode. Month after month we saw less posts with questions and answers from real people and more spam posts. We were spending more and more resources cleaning the spam until there were less them 1 legitimate message per 100 spam posts. Then we decided it's time to stop.
All the posts in the forum will be available and searchable. We understand there are a lot of useful information and we aren't going to remove anything. As for the new questions, you can always ask them on convert-me.com FaceBook page
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2 posts
• Page 1 of 1
- Cecil Titus
by Guest » Sat Mar 19, 2005 1:21 am
It depends on what you have to work with. Two ways:
1) Mathematically: If you have (x,y) coordinates for three points on the circle, you fit the equation:
(x-xc)^2 + (y-yc)^2 = r^2 for the center coordinates (xc, yc) and the radius r. (A fair bit of math)
A graphical form: From the "center" point, construct lines to the other two points. Construct perpendicular bisectors of these lines. They cross in the center.
2) Graphically: From a point outside the circle, construct two tangents (ideally at the point they form about a 90 degree angle). At the points of tangency, construct perpendiculars. They cross in the center of the circle, to the accuracy of your graphical construction.
1) Mathematically: If you have (x,y) coordinates for three points on the circle, you fit the equation:
(x-xc)^2 + (y-yc)^2 = r^2 for the center coordinates (xc, yc) and the radius r. (A fair bit of math)
A graphical form: From the "center" point, construct lines to the other two points. Construct perpendicular bisectors of these lines. They cross in the center.
2) Graphically: From a point outside the circle, construct two tangents (ideally at the point they form about a 90 degree angle). At the points of tangency, construct perpendiculars. They cross in the center of the circle, to the accuracy of your graphical construction.
- Guest
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2 posts
• Page 1 of 1