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

  • question_answer
    The area of one semi-circular end of the garden bed is:

    A) \[\text{3}0\text{8 }{{\text{m}}^{\text{2}}}\]

    B) \[\text{154 }{{\text{m}}^{\text{2}}}\]

    C) \[\text{616 }{{\text{m}}^{\text{2}}}\]

    D) \[\text{77 }{{\text{m}}^{\text{2}}}\]

    Correct Answer: D

    Solution :

    Diameter of semi-circular region of the garden bed \[=14m\]
    \[\therefore \] Radius of the semi-circular end \[=7m\]
    So, Area of one semi-circular end \[=\frac{1}{2}\times \pi {{r}^{2}}\]
    \[=\frac{1}{2}\times \frac{22}{7}\times {{7}^{2}}=77{{m}^{2}}\]
    So, option [d] correct.

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