JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

  • question_answer
    A circular wire of radius \[7\,cm\] is cut and bend again into an arc of a circle of radius \[12cm\]. The angle subtended by the arc at the centre is [Kerala (Engg.) 2002]

    A) \[{{50}^{o}}\]

    B) \[{{210}^{o}}\]

    C) \[{{100}^{o}}\]

    D) \[{{60}^{o}}\]

    Correct Answer: B

    Solution :

    Given that diameter of circular wire = 14cm Therefore length of circular wire = 14p cm. \[\therefore \] Required angle \[=\frac{\text{arc}}{\text{radius}}=\frac{14\pi }{12}=\frac{7\pi }{6}\]   \[=\frac{7}{6}\pi .\frac{{{180}^{o}}}{\pi }={{210}^{o}}\].


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