The perpendicular from the centre of a circle to a chord:
Circle
Original Khojo Papers practice question — not from a past board paper.
The perpendicular drawn from the centre of a circle to a chord bisects the chord; conversely, the line joining the centre to the mid-point of a chord is perpendicular to it.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
It follows that equal chords are equidistant from the centre.
From the same topic and chapter, at a similar level.
The perpendicular from the centre of a circle to a chord:
Circle
State the theorem about equal chords and their distances from the centre, and its converse.
Circle
A chord of length 16 cm is drawn in a circle of radius 10 cm. Find its distance from the centre.
Circle
State two theorems about equal chords of a circle.
Circle
Two chords of a circle of radius 13 cm are 24 cm and 10 cm long. Find the distance of each from the centre.
Circle
Factorise 9a2 − 16b2.
Factorisation