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The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow"). More generally, a chord is a line segment joining two points on any curve, for instance, on an ellipse. A chord that passes through a circle's center point is the circle's diameter.
A line segment that joins two points on the circumference of the circle is defined to be the chord of a circle. Explore more about chords of a circle with concepts, definitions, formulas, theorem, proof and examples.
A chord in geometry is any line segment whose endpoints can be found along the circumference of a circle.
Example: the line segment connecting two points on a circle's circumference is a chord. When the chord passes through the center of a circle it is called the diameter.
In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle. The term is also used in graph theory, where a cycle chord of a graph cycle C is an edge not in C whose endpoints lie in C.
In other words, a chord is basically any line segment starting one one side of a circle, like point A in diagram 2 below, and ending on another side of the circle, like point B. Points A and B are the endpoints of chord AB.
As the perpendicular distance from the circle’s center to the chord decreases and vice versa, a chord’s length increases. A circle is split into two sections by its chord: the major portion and the minor segment.
Chord. A chord is any line segment whose endpoints lie on a circle. The diameter is a special kind of chord that passes through the center of a circle. It is also the longest possible chord for a given circle. In the diagram above, line segment AB and CD are both chords.
Chords are important in geometry because they can be used to measure the circumference and diameter of circles, as well as to calculate arc lengths and areas of sectors. Additionally, chords can be used to construct tangents to circles and aspart of many different proofs involving circles.
A chord is a lot like a secant, but where the secant is a line stretching to infinity in both directions, a chord is a line segment that only covers the part inside the circle. A chord that passes through the center of the circle is also a diameter of the circle.