![]() ![]() The study of chords leads to various formulas: Formulas Associated with Chords in a Circle Understanding these differences helps to distinguish various geometric aspects of a circle. Tangent: A line that touches the circle at just one point.Secant: A line that intersects the circle at two points.Arc: Part of the circumference between two points.Radius: Half the length of the diameter.Diameter: A chord that passes through the center.Difference Between Chord and Other Segments (Diameter, Radius, Arc, Secant, Tangent)Ĭhords differ from other segments in the circle, such as: ![]() These unique chords are pivotal in various geometric theorems and concepts like Thales’ Theorem. Special chords include the diameter, which is the longest chord in a circle, and the radius, which is half the length of the diameter. Special Chords in a Circle (Diameter, Radius) These properties help in understanding the behavior of chords and their relationship with other geometric elements in the circle. The angle subtended by a chord at the center is twice the angle subtended by it at any point on the remaining circumference.Chords that intersect within a circle divide each other proportionally.Chords equidistant from the center are equal in length.Properties of Chords in a CircleĬhords have some fascinating properties within a circle: In the world of geometry, chords play a vital role in constructing and understanding various shapes and structures within a circle. It’s like a bridge connecting two points on the circle’s edge. It can be long, short, horizontal, vertical, or diagonal. Definition of a ChordĪ chord is a segment whose endpoints lie on a circle. It’s a fundamental concept in geometry, and understanding it lays the foundation for exploring chords. A circle is a symmetrical figure, and you can find it everywhere, from the sun to the wheels of your bicycle. The distance from the center to the points on the circle is called the radius. But how does this fascinating geometrical concept relate to the basic definitions of circles and chords? And what makes some chords so special? Let’s explore together!Ī circle is a simple shape consisting of all the points in a plane that are equidistant from a fixed point known as the center. Just like the spokes of a bicycle wheel, chords can take various lengths and angles. Let’s embark on this mathematical adventure together! What Is a Chord of a Circle?Ī chord of a circle is a straight line that connects two points on the circumference of the circle. Whether you’re a curious beginner or an aspiring mathematician, there’s something here for everyone. Brighterly is committed to making math enjoyable and accessible, and we’ve designed this guide to be both informative and engaging for learners of all ages. Today, we are delving into the concept of the “Chord of a Circle.” If you’ve ever looked at a pizza slice or the spokes of a bicycle wheel, you’ve seen examples of chords in real life! In the following sections, we will unfold the definitions, properties, and special characteristics of chords in a circle. Welcome to another exciting journey with Brighterly, where we explore the fascinating world of geometry.
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