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

  • question_answer
    If a circular grass lawn of \[\text{35 m}\] in radius has a path \[\text{7 m}\]. wide running around it on the outside, then the area of the path is:

    A) \[\text{145}0\,{{\text{m}}^{\text{2}}}\]

    B) \[\text{1576 }{{\text{m}}^{\text{2}}}\]

    C) \[\text{1694 }{{\text{m}}^{\text{2}}}\]

    D) \[\text{3368 }{{\text{m}}^{\text{2}}}\]

    Correct Answer: C

    Solution :

    [c] Radius of outer concentric circle
    \[=(35+7)\,m=42\,m.\]
    Area of path \[=\pi \,({{42}^{2}}-{{35}^{2}}){{m}^{2}}\]
    \[=\frac{22}{7}({{42}^{2}}-{{35}^{2}}){{m}^{2}}=1694\,{{m}^{2}}\]


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