Why Can't a Chord Be a Radius? Understanding the Key Differences

Learn why a chord cannot be a radius in a circle's geometry, with clear definitions and explanations.

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A chord cannot be the radius because a radius is a line segment from the center of a circle to any point on the circle, whereas a chord is a line segment with both endpoints on the circle. The key difference is that the radius always originates from the center, making its length equal to the circle’s radius, while a chord doesn’t necessarily pass through the center and can vary in length.

FAQs & Answers

  1. What is a chord in geometry? A chord is a line segment with both endpoints on the circumference of a circle.
  2. How is a radius defined? A radius is a line segment that connects the center of a circle to any point on its circumference.
  3. Can a chord pass through the center of a circle? Yes, a special type of chord that passes through the center is called a diameter.
  4. What is the length relation between a radius and a chord? The length of a radius is constant for a given circle, while the length of a chord can vary and depends on its position within the circle.

Watch More

For a deeper understanding of geometric shapes, check out our videos on the properties of triangles and quadrilaterals, as well as the basics of circle theorems.

  1. Are Radii Considered Chords in a Circle? Discover whether each radius of a circle qualifies as a chord in this insightful Q&A about circle geometry.
  2. Understanding the Difference: Radius vs Chord of a Circle Explore the key differences between a radius and a chord in geometry.
  3. 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.
  4. Understanding the Importance of Radius in a Circle Explore why a circle without a radius is geometrically impossible and learn about the fundamentals of circle geometry.