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If two chords in a circle are equal in length, what can be said about their dist

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Question: If two chords in a circle are equal in length, what can be said about their distances from the center of the circle?

Options:

  1. They are equal
  2. One is longer than the other
  3. They are perpendicular to each other
  4. They are at different angles

Correct Answer: They are equal

Solution:

If two chords in a circle are equal in length, they are equidistant from the center of the circle.

If two chords in a circle are equal in length, what can be said about their dist

Practice Questions

Q1
If two chords in a circle are equal in length, what can be said about their distances from the center of the circle?
  1. They are equal
  2. One is longer than the other
  3. They are perpendicular to each other
  4. They are at different angles

Questions & Step-by-Step Solutions

If two chords in a circle are equal in length, what can be said about their distances from the center of the circle?
  • Step 1: Understand what a chord is. A chord is a straight line that connects two points on the edge of a circle.
  • Step 2: Recognize that the center of the circle is the middle point of the circle.
  • Step 3: Know that the distance from the center of the circle to a chord is the shortest line from the center to the chord, which is perpendicular to the chord.
  • Step 4: If two chords are equal in length, they must be the same distance from the center of the circle.
  • Step 5: Therefore, we can say that if two chords are equal in length, they are equidistant from the center of the circle.
  • Chord Properties – In a circle, equal-length chords are equidistant from the center.
  • Circle Geometry – Understanding the relationship between chords and their distances from the center of the circle.
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