Project In Circles

               Mathematics

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Relations among Arcs, Chords and Angles

In the same circlee, equal angles at the centre stand on equal arcs.

If x=y, then arc AB=arc CD.        If arc AB=arc CD, then x=y.

In the same circle, equal angles at the centre stand on equal chords.

If x=y, then AB=CD.               If AB=CD, then x=y.

In the same circle, equal chords cut off equal arcs.

If AB=CD, then arcAB=arcCD.                If arcAB=arcCD, then AB=CD.

arcAB:arcCD = m:n. [Reference: arcs prop. to angles at centre]

arcAB:arcCD = a:b. [Reference: arcs prop. to angles at circumference]