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Chords of a circle Flipbook PDF
Chords of a circle
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Chords of a Circle
Equal Chords of a circle
Equal Chords Chords of same length are at Equidistant from the centre of a circle
Proof
AB=CD (Equal chords) AQ=QB (OQ Perpendicular to AB) CP=PD ‘’ Condider
AOQ,
CPO ,
Half of AB= Half of CD ie AQ=CP AO=CO(radii of the same circle) Hypotenuse and Altitude of both Right triangles are equal .ie Third sides are also equal. PO=OQ ie Distances from the centre to chords are equal
Chords of a circle meeting at a point on it
Answer Consider Tri. APO , AQO