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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