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

  • question_answer
    The perimeter of the pizza slice shown in (I), is:

    A) \[(\pi +12)\] inch

    B) \[(\pi +10)\] inch

    C) \[(2\pi +10)\]inch

    D) \[(2\pi +12)\] inch

    Correct Answer: D

    Solution :

    Perimeter of a sector \[=l+2r,\] where l is the length of the arc given by \[\frac{\theta }{360}\times 2\pi r\]
    Here, \[\theta =60{}^\circ \] and \[r=6\] inch
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,l=\frac{\theta }{360}\times 2\times \pi \times 6\]
    and        \[2r=2\times 6=12\]
    \[\therefore \]  Perimeter \[=(2\pi +12)\] inch
    So, option [d] is correct.  

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