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

  • question_answer
    The ratio of areas of each slice of pizza (I) and (II), is:

    A) \[3:4\]

    B) \[5:3\]

    C) \[4:3\]

    D) \[2:5\]

    Correct Answer: C

    Solution :

    The angle subtended by a slice in pizza (I) is \[60{}^\circ ,\]and the angle subtended by a slice in pizza (II) is \[45{}^\circ \] i.e., \[\frac{360{}^\circ }{8}\]
    Therefore, ratio of area of slice in the two cases
    \[\frac{60}{360}\times \pi \times {{(6)}^{2}}:\frac{45}{360}\times \pi \times {{(6)}^{2}}\]
    \[=60:45=4:3\]
    So, option [c] is correct.


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