10th Class Mathematics Areas Related to Circles Question Bank MCQs - Areas Related to Circles

  • question_answer
    A pendulum swings through an angle of \[60{}^\circ \] and describes an arc \[\text{8}.\text{8 cm}\] in Length. The length of pendulum is:

    A) \[4.2\,cm\]

    B) \[2.1\,cm\]

    C) \[8.4\,cm\]

    D) \[6.3\,cm\]

    Correct Answer: C

    Solution :

    [c] Let r be the length of pendulum.
    Length of an \[arc=\frac{\theta }{360{}^\circ }\times 2\pi r\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,8.8=\frac{60{}^\circ }{360{}^\circ }\times 2\times \frac{22}{7}\times r\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,r=\frac{360{}^\circ \times 8.8\times 7}{2\times 22\times 60{}^\circ }=8.4cm\]


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