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What else can I help you with?
Can noncollinear points lie on a circle?
Yes. In fact, given any three non-collinear points, there is one (and only one) circle that passes through all three points.
What is there through any three noncollinear points?
A plane. A circle can also pass through three non-co-linear points.
Can a circle pass through three points of a straight line?
No, a circle can never pass through three points of a straight line. The circle will touch 1) no points of the line, 2) one point of the line (which is now tangent to the circle), or 3) two points of the line. A line can contain (at most) twopoints that lie on the line.
How do you get the formula center of curvature?
This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.
How do you find the center of a circle with two given points?
If you're only given two points, and you're told that they both lie on a circle,then there are an infinite number of possible circles, and therefore an infinitenumber of possible centers. In order to pin it down, you need three points.
The set points in space that are a given distance from a given point is?
In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.
How every circle has unique diameter?
That means that a given circle doesn't have two or three diameters. For a given circle, there is a unique measurement, called its "diameter". It is the distance from one end to the other, passing through the center. Since the circle is defined as all the points that are at the same distance from a point (the center), all radii are the same distance; and the diameter is simply twice the radius.
How many lines can you draw through three given points taking two at a time if the points are collinear?
One.
What 3 parts does a circle divide a plane into?
The three parts are:the interior of the circle, the points on the circle (points on its circumference) the outside of the circle.
Finding the equation of a circle given the radius and one point?
It can't be done. There are an infinite number of circles with a specific radius and which go through a specific point. What you need is the centre of the circle. If you have two points that the circle crosses, then you can narrow it down to two possible circles. If you have three points that the circle crosses, then you can narrow the list of possible circles down to a single circle. But without the information above, it's impossible.
What is the locus of points that are 10 centimeters from a given point?
The locus of points (or collection of all points) that are 10 centimeters from a given point would be a circle (of radius 10 cm) in two dimensions, and a sphere (of radius 10 cm) in three dimensions.
What is the locus of points less than three units from a given point?
All points less than 3 distant from point 'P' comprise a circle, centered at 'P', with a radius of 3, but NOT including the line that is the circumference of the circle.
