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

  • question_answer
    If the area of a circle is \[2464\text{ }c{{m}^{2}}\], then the diameter of circle is

    A) 57cm

    B) 56cm

    C) 54cm

    D) None of these

    Correct Answer: B

    Solution :

    Given, area of circle \[=\text{ }2464\text{ }c{{m}^{2}}\] \[\pi {{r}^{2}}=2464\Rightarrow {{r}^{2}}=\frac{2464\times 7}{22}\] \[\Rightarrow \,\,{{r}^{2}}=784\Rightarrow r=28\] [taking square root] \[\therefore \] Diameter of a circle \[=2r=2\times 28=56\,cm\]


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