10th Class Mathematics Areas Related to Circles Question Bank Case Based (MCQs) - Areas Related to Circles

  • question_answer
    If the pendulum covers a distance of \[22\,cm\] in the complete oscillation, then find the angles described by pendulum at the centre.

    A) \[40{}^\circ \]

    B) \[42{}^\circ \]

    C) \[45{}^\circ \]

    D) \[48{}^\circ \]

    Correct Answer: B

    Solution :

    [b] We have, \[r=15cm\] and \[l=\frac{1}{2}(22)=11cm\]
    We know that \[l=2\pi r\left( \frac{\theta }{360{}^\circ } \right)\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\theta =\frac{11\times 360{}^\circ }{2\times \frac{22}{7}\times 15}=\frac{90{}^\circ \times 7}{15}=6{}^\circ \times 7=42{}^\circ \]

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