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State and prove that : Theorem 10.1 : Eq...

State and prove that :
Theorem 10.1 : Equal chords of a circle subtend equal angles at the centre

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This theorem states that, if there are 2 equal chords in a circle, the angles formed by the equal chords at the center of the circle are equal.
Given
AB and CD are two equal chords in a circle with center O.
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Knowledge Check

  • 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))`

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