What is the relationship between the radius and the chord length in a circle?

Practice Questions

Q1
What is the relationship between the radius and the chord length in a circle?
  1. Chords are always longer than the radius.
  2. Chords can be equal to the radius.
  3. Chords can be shorter than the radius.
  4. All of the above.

Questions & Step-by-Step Solutions

What is the relationship between the radius and the chord length in a circle?
  • Step 1: Understand what a circle is. A circle is a round shape where all points are the same distance from the center.
  • Step 2: Know what a radius is. The radius is the distance from the center of the circle to any point on the edge.
  • Step 3: Understand what a chord is. A chord is a straight line that connects two points on the edge of the circle.
  • Step 4: Realize that the length of a chord can change. Chords can be different lengths depending on where they are in the circle.
  • Step 5: Compare the chord length to the radius. A chord can be shorter than the radius, equal to the radius, or longer than the radius.
  • Step 6: Remember that the longest chord in a circle is the diameter, which is twice the length of the radius.
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