State the theorem about equal chords and their distances from the centre, and its converse.
Circle
Original Khojo Papers practice question — not from a past board paper.
Equal chords of a circle are equidistant from the centre, and conversely chords equidistant from the centre are equal. Equal chords also subtend equal angles at the centre.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Both follow from the congruence of the triangles formed with the centre.
From the same topic and chapter, at a similar level.
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
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
The perpendicular from the centre of a circle to a chord:
Circle
State the theorem about the perpendicular from the centre of a circle to a chord.
Circle
Factorise x4 − 81.
Factorisation