Perpendicular from the Centre to a Chord

The radius of a circle is 10 cm and the perpendicular form the centre to a chord is 8cm. Find the length of the chord. (ii) The radius of a circle is 10 cm. its one chord is 16 cm long. Find the perpendicular distance of this chord form the centre. (iii) in the adjoining figure O is the centre of circle. the radius of circle is 17 cm . if OC=8cm, then find the length of chord AB. (iv) In the adjoining figure, OMbotAB , radius OC=5cm and chord AB=8cm .Find the length of OM.

OMR|Theorem|Perpendicular From The Centre To A Cord|Circle Through Three Points|Equal Chords And Their Distances From The Centre|Theorem|Questions

The perpendicular from the centre of a circle to a chord bisects the chord.

The perpendicular from the centre of a circle to a chord bisects the chord.

Theorem 10.3 : The perpendicular from the centre of a circle to a chord bisects the chord.

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Theorem :-2The perpendicular from centre of a circle to the chord bisects the chord and Perpendicular bisectors of two chords of a circle intersects at the centre.