Class 9 Maths Circles Perpendicular from center to a chord

Perpendicular from center to a chord

Theorem 3: The perpendicular from the centre of a circle to a chord bisects the chord.

In the given figure, If line OC is drawn perpendicular from center O  to Chord AB. It is observed that C divides line AB into two equal part, that is AC=CB. 

Refer ExamFear video lessons for Proof of this theorem

 

Converse Theorem 4: The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

In the given figure, C is the midpoint of chord AB. Line OC is drawn from center O to C,it is observed that OC is perpendicular to AB.

Refer ExamFear video lessons for Proof of this theorem

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