Multiple Choice Questions on ABC is a triangle and O is the centre of its circumcircle and ang OBC 22 deg then ang BAC will be ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

ABC is a triangle and O is the centre of its circumcircle and ang OBC 22 deg then ang BAC will be ........

Quantitative Aptitude ( CCS) Geometry
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    ABC is a triangle and O is the centre of its circumcircle and ∠OBC = 22°, then ∠BAC will be

    22°

    Incorrect Answer

    44°

    Incorrect Answer

    68°

    Correct Answer

    46°

    Incorrect Answer
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    Explanation:

    OB = OC = radius
    ⇒ ∠OCB = ∠OBC = 22°
    ⇒ ∠BOC = 180° – (∠OBC + ∠OCB)
    = 180° – (22° + 22°)
    = 180° – 44°
    = 136°
    ⇒ ∠BAC = 1/12 ∠BOC
    [Angle made on circumference by Chord = 1/2 angle made on centre]
    = 1/2 × 136° = 68°

    By: Amit Kumar
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