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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.
Why is the diameter of a circle always twice the length of the radius?
A circle is the locus of points that are equidistant from a fixed point. As a result, all radii of the circle must be of the same length. A diameter is a straight line that goes from the circumference to the centre and on to the circumference on the other side. Thus it is a radius from the circumference to the centre and then another radius from the centre to the circumference. And since these are the same, it is 2 radii in length.
What is the intersection of 2 diameters of a circle called?
locus * * * * * A more likely answer is "the centre of the circle".
Set of points satisfying a condition?
This is called the locus.
Although the locus of points idea can be used to define a straight line and circle more complex shapes such as parabolas must be defined a different way. True or False?
Certainly false for parabolae; a parabola is the locus of points in a plane which are equidistant from a point (the focus) and a line (the directrix) in that plane. It's also false for an ellipse, which is the locus of points in a plane where the sum of the distances from two other points in that plane (the foci) is constant. AND false for a hyperbola, which is the locus of points in a plane where the absolute value of the DIFFERENCE in the distance from two points in that plane (also the foci) is constant. Alternatively, a hyperbola is the locus of points in a plane where the ratio of the distance to one of the foci and to a line (the directrix) is constant (which is larger than 1; if it's exactly equal to 1, you get a parabola instead).All of these are only slightly more complicated than circles, and in fact they, alone with circles, are called "conic sections" because they all are formed by the intersection of a plane with a right circular conical surface.
What is the locus of the midpoints of all chords of length 4 in a given circle with radius of length 3?
Looks to us like it's another circle, concentric with the first one, with radius of sqrt(5) = 2.236 . (rounded)
Is locus is center of circle or any point on circumference of circle?
The center isn't the locus, and a point on the circumference isn't the locus.The whole circumference of the circle is the locus.It's the locus of all points that have the same distance from the center of the circle.
Circle and its elements?
A circle is the locus of a point which moves such that its distance from a fixed point is constant. .The fixed point is centre and fixed distance is radius of circle. Elements of circle are centre, radius and circumference.
What is the locus of points five units from the origin?
The circle of radius five centered at the origin.
A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?
A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true
Does The locus of points idea allows you to define a circle without giving a numerical value for the radius?
Yes
What is the point from which all points are equidistant?
This is the center, or locus, of a set of points, such as a curve or circle.
What is the locus of all points in a plane two centimeters from point a?
That's a circle, centered at 'a', with a radius of 2 cm.
What is a locus of points equidistant from a point?
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
What is a locus point in math?
A locus in mathematics refers to a set of points that satisfy a certain condition. For example, the locus of points that are all 1 unit from (0, 0) is a circle with a radius of 1 unit and a centre of (0, 0).
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.
A example of how a sphere is similar to a circle?
A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.
