Is a Diameter Always Considered a Chord in Geometry?

Learn why a diameter is always a chord and its importance in geometry. Understand the definitions and properties clearly.

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Yes, a diameter is always a chord. A chord is any line segment within a circle that touches two points on the circle. A diameter is a special type of chord that passes through the center of the circle, thereby dividing it into two equal halves. This makes the diameter both the longest chord in the circle and foundational to understanding other geometrical properties.

FAQs & Answers

  1. What is the definition of a chord? A chord is any line segment that connects two points on the circumference of a circle.
  2. Can a diameter be classified as a chord? Yes, a diameter is a special type of chord that runs through the center of the circle.
  3. What is the longest chord in a circle? The diameter is the longest chord in a circle, dividing it into two equal halves.
  4. How is a diameter different from other chords? A diameter passes through the center of the circle, making it unique among other chords.