![]() 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. ![]()
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