Chord (geometry) - Chords of A Circle

Chords of A Circle

Further information: Chord properties

Among properties of chords of a circle are the following:

  1. Chords are equidistant from the center only if their lengths are equal.
  2. A chord's perpendicular bisector passes through the centre.
  3. If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD (power of a point theorem).

The area that a circular chord "cuts off" is called a circular segment.

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