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ukmj
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Given 3 points how to find the centre and radius of a circle in 3 D??
Say the 3 points are (a,b,c),(a1.b1,c1) and (a2,b2,c2)...
Say the 3 points are (a,b,c),(a1.b1,c1) and (a2,b2,c2)...
Do you mean a sphere? Are these arbitrary points anywhere in the sphere or on the surface?
To find the center of a circle in 3D, you can use the method of solving equations for the center coordinates. This involves setting up and solving three equations using the coordinates of the given points. Once the equations are solved, the resulting values will be the coordinates of the center of the circle.
The equation for finding the radius of a circle in 3D is similar to the equation in 2D, which is r = √(x² + y²). However, in 3D, the equation becomes r = √(x² + y² + z²), where z represents the third coordinate of the center of the circle.
No, it is not possible to have more than one center and radius for a circle in 3D. A circle can only have one center point and one radius, regardless of the number of points given.
Yes, it is possible for the center of a circle to be located outside of the given points in 3D. This can happen if the given points do not lie on the same plane, and the circle is tilted or oblique to that plane.
No, the radius of a circle in 3D cannot be negative. The radius is a measure of the distance from the center of the circle to any point on its circumference, and distance cannot be negative. Thus, the radius will always be a positive value.