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What are a set of points equidistant from a given point?

Congruent. If the two points are an equal distance from a third point, then those two points are congruent to each other, in respect to the third point. This is a true statement, but it may not be what the question is looking for.


A Polygon whose vertices are on a circle and whose other points are inside the circle?

Inscribed Polygon


How do you calculate the cartesian coordinate of 3rd corner on a triangle if you have the lengths of all three sides plus the coordinates of the other two corners?

With the distance formula. Call the points A, B, and C. Call the sides ab, bc, and ca. If we know where points A and B are, we can figure out the location of point C. We use two distance formulas. The length of cb and the location of B will give us a set of points an equal distance from point B (a circle with center at B). The length of ca and the location of A will give us a set of points an equal distance from point A (a circle with center at A). The intersection of these two sets (set the distance formulas equal to each other, or otherwise solve for the solution of a set of equations) will be the two possibilities of the vertex C.


How do you find coordinates of a point given 1 point and midpoint?

since you know of one points and the halfway point between the other point. just multiply the halfway point by 2 and this is the total distance between the two points.


What is the perimeter of a circle and the diameter of a circle?

Circumference (perimeter) of a circle = pi x diameter Diameter of a circle is the straight line distance from one side to the other which passes through the centre of the circle.

Related Questions

Why are circles important to building equilateral triangles?

The three vertices of a circle are at the same distance form each other. The circumference of a circle identifies all points which are at a given distance from a point (vertex).


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.


What joins two points on a circle?

A chord and the diameter is the largest chord of a circle. A2. Remember, the circle is the bit inside the curved line, NOT the curved line. [A circle is bounded by ... .] From any two points on a circle, you could erect a variety of lines, of which the shortest for any given quest would be a straight line. The other natural line joining two points would be the arc joining two points on the perimeter of a circle. * * * * * Actually, I believe that a circle IS the curved line. A circle is defined as the locus of all points that are at a constant distance from a fixed point (the centre). This is the boundary of the circle, not its interior.


How do you get the distance and displacement if the circumference is given?

If the circumference of the object's circular path is given, you can find the distance traveled by using the formula: distance = circumference. Displacement, on the other hand, is the shortest distance between the initial and final points, which can be less than the circumference depending on the path taken.


What are diameters in a circle?

The diameter of a circle is the distance from one side of the circle to the other side by a straight line going through the center point of the circle. The longest distance between any two points on a circle. One-half of the diameter is the radius. That is the distance from the center of the circle to any point on the circle by a straight line. The square of the radius (the radius times the radius) times the value of pi is equal to the distance around the circle called the circumference.


Why isn't any other shapes beside a circle have infinitie symmetry lines?

only spheres take up all the given points in a given space


When you use the distance formula you are calculating the length of a right triangle which goes between two given points?

Yes, the Euclidean distance is the length of the hypotenuse of the right angled triangle whose other two vertices are at the two given points.


How do you make a nine point circle?

A nine point circle is constructed by starting off with a triangle. Draw 10 points on the triangle any equal distance from each other, and connect.


One radius of a circle is the same length as any other radius of any other radius?

The radius is the distance from the center of the circle to its edge. No matter how you draw this radius, it is one value of one length only, for any given circle.


Why does the fan rotate in circular path?

Because the center of the fan is attacked to something, and if the fan is relatively rigid, other points on the fan keep the same distance from that center. The set of points in a plane that has the same distance from the center is called a circle.


The center of a circle is a example of what?

The center of a circle is an example of a point equidistant from all points on the circle's circumference, serving as the geometric midpoint of the shape. It is a key element for defining the circle's properties and relationships with other geometric figures.


What is a great circle in spherical geometry?

The great circle is the intersection of a sphere and any plane passing through its centre. Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.