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

  • question_answer
    A circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular path is \[132\,m\]. The width of path is:

    A) \[20\,m\]

    B) \[21\,m\]    

    C) \[22\,m\]

    D) \[24\,m\]

    Correct Answer: B

    Solution :

    [b] Let \[{{R}_{1}}\,m\] and \[{{R}_{2}}\,m\] be the radii of the outer and inner circular path.
    \[\therefore \,\,\,\,\,\,\,\,\,2\pi {{R}_{1}}-2\pi {{R}_{2}}=132\,\,\Rightarrow \,\,{{R}_{1}}-{{R}_{2}}=\frac{132}{2\pi }\]
    \[\Rightarrow \,\,\,\,\,\,{{R}_{1}}-{{R}_{2}}=\frac{132\times 7}{2\times 22}=21\]
    Hence, the. width of the path is\[\text{21 m}\].


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