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

  • question_answer
    The external and internal diameters of a circular path are \[12\,m\] and \[8\,m\] respectively. The area of the circular path is:

    A) \[9\pi \,{{m}^{2}}\]

    B) \[16\pi \,{{m}^{2}}\]

    C) \[20\pi \,{{m}^{2}}\]

    D) \[36\pi \,{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Let \[{{d}_{1}}\] and \[{{d}_{2}}\] be external and internal diameters.
    Area of the circular path \[=\pi \left[ {{\left( \frac{{{d}_{1}}}{2} \right)}^{2}}-{{\left( \frac{{{d}_{2}}}{2} \right)}^{2}} \right]\]
    \[=\pi \left[ {{\left( \frac{12}{2} \right)}^{2}}-{{\left( \frac{8}{2} \right)}^{2}} \right]=\pi \{36-16\}=20\pi {{m}^{2}}\]


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