- The perpendicular drawn from the centre of a circle to a chord bisects the chord. Conversely, the line joining the mid-point of a chord and the centre of the circle is perpendicular to the chord.
- Chords that are equal are equidistant from the centre of the circle. Conversely, if the lengths of perpendiculars from the centre of the circle to two chords are equal, the chords are equal.
- The length of a chord keeps increasing as it moves closer to the centre of the circle, with the diameter being the largest chord.
Circle - Chord Properties
Rarely Tested
Question 1
In a circle of radius 13 cm, there are two parallel chords of length 24 cm and 10 cm. They are on different sides of the centre. What is the distance between the two chords?
Question 2
In a circle of radius 17 cm, there are two parallel chords of length 16 cm and 30 cm. What is the distance between the two chords?
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Circle - Chord Properties
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