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
Original Khojo Papers practice question — not from a past board paper.
Equal chords of a circle are equidistant from the centre. Conversely, chords that are equidistant from the centre are equal in length.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Both follow from the congruence of the right-angled triangles formed by the radius, the perpendicular and half the chord.
From the same topic and chapter, at a similar level.
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
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
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