Chord of a circle
line segment that joins two points on the circle
A chord of a circle is a straight line segment that connects two points on the circle. It is the shortest distance between two points on the circumference of the circle. The chord divides the circle into two segments, which are defined as the major segment and the minor segment. The chord’s length is determined by the distance between the two points where it intersects the circle’s circumference. The midpoint of the chord lies on the circle’s diameter, and it divides the chord into two equal halves.
In geometry, the properties and the length of a chord play an essential role in solving problems related to circles. The length of a chord is determined by the angle between the chord and the circle’s center, the radius of the circle, or the distance of the chord from the center of the circle. By using these properties, we can find the length of a chord, determine its position with respect to the center of the circle, and solve problems related to circle geometry.
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