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Equal chords of a circle subtend equal a...

Equal chords of a circle subtend equal angles at the centre.

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Theorem:-1If two arcs of a circle are congruent; the corresponding chord are equal and Equal chords of a circle substends equal angles at the centre.

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

Knowledge Check

  • r : Two chords of a circle subtend equal angles at centre if and only if they are equal. Statement r can be interpreted as

    A
    Two chords of a circle subtend equal angle at the centre if they are equal
    B
    Two chords of a circle are equal if they subtend equal angle at the centre
    C
    Both (1) & (2)
    D
    None of these

  • What is the length of the chord of a unit circle which subtends an angle at the centre ?

    A
    `sin(theta/2)`
    B
    `cos((theta)/(2))`
    C
    `2sin((theta)/(2))`
    D
    `2cos((theta)/(2))`

    • Similar Questions

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    Equal chord of circle subtends equal angle on centre.

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    Equal chords of congruent circles subtend equal angles at the centre.

    Recall that two circles are congruent if they have the same radil.Prove that equal chords of congruent circles subtend equal angles at their centres.

    Prove that if chords of congruent circles subtend equal angles at their centres,then the chords are equal.

    Equal chords of a circle are equidistant from the centre.

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