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

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.

What is the length of the perpendicular drawn from the centre of circle of radius r on the chord of length sqrt3

A line drawn drom the centre of a circle to a chord always bisects it. (True/False).

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.

Theorem 10.4 : The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

PS is the chord of the circle with centre O. A perpendicular is drawn from centre O of the circle to chord PS at M. If bar(PS) =30 cm and bar(OM) =8 cm , then find the radius of the circle.

A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is