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Line touches a point on the circumference of the circle?
When a line touches a point on the circumference of a circle, it is referred to as a tangent. A tangent to a circle is a straight line that intersects the circle at exactly one point, known as the point of tangency. At this point, the tangent is perpendicular to the radius drawn to the point of tangency. This unique relationship defines the geometric properties of tangents in relation to circles.
What defines a chord in geometry?
A chord is a straight line that extends from one point of the circumference of a circle to another point on the circumference and the diameter of a circle is its largest chord
What is pi radius and diameter?
The radius of a circle is the distance from the center to any point on the circle. The diameter is twice as much; it is the length of a line segment from one point on a circle to another point on it that passes through the center. Pi is a constant, equal to approximately 3.1416 (the exact value is irrational), which is defined as the ratio of the circumference of any circle to its diameter (all circles are similar so the ratio is always the same).
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).
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.
The diameter of a circle?
The diameter of a circle is a straight line going from one point on the circumference (the boundary) of the circle, through the centre of the circle, to another point on the circumference.
Does a tangent circle pass through the center of the circle?
If the tangent circles are outside of one another, then neither passes through the center of the other. If one circle is within the other, then the inner tangent circle might contain the center point of the larger circle. There will be infinitely many inner tangent circles that do not.
What defines a chord in geometry?
A chord is a straight line that extends from one point of the circumference of a circle to another point on the circumference and the diameter of a circle is its largest chord
What is one relationship between lines and circles?
A straight line touches the circumference of a circle only at one point and it is a tangent line
Why circles has no angles and edges?
A circle has no angles because its circumference is a path tyraced put by a point moving at a constant distance from the centre, and an angle is defined as the junction of two straight lines. A circle has one edge - its circumference.
What are circles dimensioned by?
there are 3 measurements of a circle the diameter, which is the distance from one point of the circle through the center point to the other side the radius, which is the distance from the center point to any point of the circle (which is 1/2 of the diameter) and the circumference, which is the distance from one point on the circle all the way around to the point you started at
What is the difference of diameter and meter?
The diameter is a straight line going from a point on the circumference of a circle, through the centre of the circle, to another point on the circumference. It can be of any length. A metre is a standard unit for measuring length.
What is a circle inside a circle called?
A circle inside another circle is called a concentric circle. This means that the circles share the same center point, with one circle contained entirely within the other.
What is the span of the compass in drawing a circle through one point given the center at another point?
It is the distance between the two points.
Locus of a point equidistant from two concentric circles?
Another circle midway between the originals.
Why does a circle have infinite lines of symmetry?
Because the distance from one point at the circumference through the center to another point at the circumference is always the same, at an infinite set of coordinates along the circle (anywhere, relative to the size of the circle, and always providing an axis which perfectly dissects the circle).
What is pi radius and diameter?
The radius of a circle is the distance from the center to any point on the circle. The diameter is twice as much; it is the length of a line segment from one point on a circle to another point on it that passes through the center. Pi is a constant, equal to approximately 3.1416 (the exact value is irrational), which is defined as the ratio of the circumference of any circle to its diameter (all circles are similar so the ratio is always the same).
